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Simplifying 5(8r + 1) = 4r + -31 Reorder the terms: 5(1 + 8r) = 4r + -31 (1 * 5 + 8r * 5) = 4r + -31 (5 + 40r) = 4r + -31 Reorder the terms: 5 + 40r = -31 + 4r Solving 5 + 40r = -31 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 5 + 40r + -4r = -31 + 4r + -4r Combine like terms: 40r + -4r = 36r 5 + 36r = -31 + 4r + -4r Combine like terms: 4r + -4r = 0 5 + 36r = -31 + 0 5 + 36r = -31 Add '-5' to each side of the equation. 5 + -5 + 36r = -31 + -5 Combine like terms: 5 + -5 = 0 0 + 36r = -31 + -5 36r = -31 + -5 Combine like terms: -31 + -5 = -36 36r = -36 Divide each side by '36'. r = -1 Simplifying r = -1
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