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Simplifying 7(8r + -8) = 40 + 8r Reorder the terms: 7(-8 + 8r) = 40 + 8r (-8 * 7 + 8r * 7) = 40 + 8r (-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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