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Simplifying 8(7 + -7r) = -8r + -40 (7 * 8 + -7r * 8) = -8r + -40 (56 + -56r) = -8r + -40 Reorder the terms: 56 + -56r = -40 + -8r Solving 56 + -56r = -40 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 56 + -56r + 8r = -40 + -8r + 8r Combine like terms: -56r + 8r = -48r 56 + -48r = -40 + -8r + 8r Combine like terms: -8r + 8r = 0 56 + -48r = -40 + 0 56 + -48r = -40 Add '-56' to each side of the equation. 56 + -56 + -48r = -40 + -56 Combine like terms: 56 + -56 = 0 0 + -48r = -40 + -56 -48r = -40 + -56 Combine like terms: -40 + -56 = -96 -48r = -96 Divide each side by '-48'. r = 2 Simplifying r = 2
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