Final answer:
To write the expression 6(-5r-4)-2(r-7s-3) in standard form, distribute the numbers outside the parentheses across the terms within and combine like terms to get -32r + 14s - 18.
Step-by-step explanation:
To write the expression 6(-5r-4)-2(r-7s-3) in standard form, we must distribute the numbers outside the parentheses to each term inside the parentheses and then combine like terms.
Distribute the 6: 6 × (-5r) = -30r and 6 × (-4) = -24, giving us -30r - 24.
Distribute the -2: -2 × r = -2r, -2 × (-7s) = +14s and -2 × (-3) = +6, giving us -2r + 14s + 6.
Combine the two resulting expressions: -30r - 24 - 2r + 14s + 6.
Combine like terms: The terms -30r and -2r combine to -32r, and the constants -24 and +6 combine to -18.
The standard form of the expression is -32r + 14s - 18.
Check the answer to see if it is reasonable.