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Simplifying -5r + 31 = -5(r + -3) + -4r Reorder the terms: 31 + -5r = -5(r + -3) + -4r Reorder the terms: 31 + -5r = -5(-3 + r) + -4r 31 + -5r = (-3 * -5 + r * -5) + -4r 31 + -5r = (15 + -5r) + -4r Combine like terms: -5r + -4r = -9r 31 + -5r = 15 + -9r Solving 31 + -5r = 15 + -9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9r' to each side of the equation. 31 + -5r + 9r = 15 + -9r + 9r Combine like terms: -5r + 9r = 4r 31 + 4r = 15 + -9r + 9r Combine like terms: -9r + 9r = 0 31 + 4r = 15 + 0 31 + 4r = 15 Add '-31' to each side of the equation. 31 + -31 + 4r = 15 + -31 Combine like terms: 31 + -31 = 0 0 + 4r = 15 + -31 4r = 15 + -31 Combine like terms: 15 + -31 = -16 4r = -16 Divide each side by '4'. r = -4 Simplifying r = -4
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