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Simplifying -31 = 8 + 5(r + -3) Reorder the terms: -31 = 8 + 5(-3 + r) -31 = 8 + (-3 * 5 + r * 5) -31 = 8 + (-15 + 5r) Combine like terms: 8 + -15 = -7 -31 = -7 + 5r Solving -31 = -7 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -31 + -5r = -7 + 5r + -5r Combine like terms: 5r + -5r = 0 -31 + -5r = -7 + 0 -31 + -5r = -7 Add '31' to each side of the equation. -31 + 31 + -5r = -7 + 31 Combine like terms: -31 + 31 = 0 0 + -5r = -7 + 31 -5r = -7 + 31 Combine like terms: -7 + 31 = 24 -5r = 24 Divide each side by '-5'. r = -4.8 Simplifying r = -4.8
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