Practice Combining Like Terms with Negative Coefficients and Distribution
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- The simplified expression is $$-16n -41$$.
- Distribute the 2 to each term inside the first set of parentheses:
- $$2(-n-3)-7(5+2n) = -2n -6 -7 (5+2n)$$
- Distribute the -7 to each term inside the second set of parentheses:
- $$-2n-6-7(5+2n) = -2n -6 -35 -14n$$
- Rewrite the expression to group the n-terms and numeric terms, and then combine like terms:
$$-2n-14n-6-35 = -16n -41$$
- Distribute the 2 to each term inside the first set of parentheses:
- The simplified expression is $$-2z+2$$.
- The minus sign in front of the parentheses means we multiply each term inside the parentheses by -1:
- $$-3z-1(-z-2) = -3z+z+2$$
- Combine the z-terms:
$$-3z+z+2 = -2z+2$$
- The minus sign in front of the parentheses means we multiply each term inside the parentheses by -1:
- The simplified expression is $$2k-13$$.
- Distribute the -3 to each term inside the first set of parentheses:
- $$-3(2+4k) + 7(2k-1) = -6-12k + 7(2k-1)$$
- Distribute the 7 to each term inside the second set of parentheses:
- $$-6-12k + 7(2k-1) = -6-12k+14k-7$$
- Rewrite the expression to group the k-terms and numeric terms, and then combine like terms:
$$-12k + 14k-6-7 = 2k-13$$
- Distribute the -3 to each term inside the first set of parentheses:
- The simplified expression is $$-20p-2$$.
- Distribute the -4 to each term inside the parentheses:
- $$2-4(5p+1)=2-20p-4$$
- Combine the numeric terms:
- $$2-20p-4=-20p-2$$
- Distribute the -4 to each term inside the parentheses: