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Simplifying 56 = -8(-1 + 6r) + -8(r + 1) 56 = (-1 * -8 + 6r * -8) + -8(r + 1) 56 = (8 + -48r) + -8(r + 1) Reorder the terms: 56 = 8 + -48r + -8(1 + r) 56 = 8 + -48r + (1 * -8 + r * -8) 56 = 8 + -48r + (-8 + -8r) Reorder the terms: 56 = 8 + -8 + -48r + -8r Combine like terms: 8 + -8 = 0 56 = 0 + -48r + -8r 56 = -48r + -8r Combine like terms: -48r + -8r = -56r 56 = -56r Solving 56 = -56r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '56r' to each side of the equation. 56 + 56r = -56r + 56r Combine like terms: -56r + 56r = 0 56 + 56r = 0 Add '-56' to each side of the equation. 56 + -56 + 56r = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 56r = 0 + -56 56r = 0 + -56 Combine like terms: 0 + -56 = -56 56r = -56 Divide each side by '56'. r = -1 Simplifying r = -1
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