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Simplifying -1(r + -7) = -3(8r + 8) + -8r Reorder the terms: -1(-7 + r) = -3(8r + 8) + -8r (-7 * -1 + r * -1) = -3(8r + 8) + -8r (7 + -1r) = -3(8r + 8) + -8r Reorder the terms: 7 + -1r = -3(8 + 8r) + -8r 7 + -1r = (8 * -3 + 8r * -3) + -8r 7 + -1r = (-24 + -24r) + -8r Combine like terms: -24r + -8r = -32r 7 + -1r = -24 + -32r Solving 7 + -1r = -24 + -32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '32r' to each side of the equation. 7 + -1r + 32r = -24 + -32r + 32r Combine like terms: -1r + 32r = 31r 7 + 31r = -24 + -32r + 32r Combine like terms: -32r + 32r = 0 7 + 31r = -24 + 0 7 + 31r = -24 Add '-7' to each side of the equation. 7 + -7 + 31r = -24 + -7 Combine like terms: 7 + -7 = 0 0 + 31r = -24 + -7 31r = -24 + -7 Combine like terms: -24 + -7 = -31 31r = -31 Divide each side by '31'. r = -1 Simplifying r = -1
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