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Simplifying -4(2 + -7r) = -31 + 5r (2 * -4 + -7r * -4) = -31 + 5r (-8 + 28r) = -31 + 5r Solving -8 + 28r = -31 + 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. -8 + 28r + -5r = -31 + 5r + -5r Combine like terms: 28r + -5r = 23r -8 + 23r = -31 + 5r + -5r Combine like terms: 5r + -5r = 0 -8 + 23r = -31 + 0 -8 + 23r = -31 Add '8' to each side of the equation. -8 + 8 + 23r = -31 + 8 Combine like terms: -8 + 8 = 0 0 + 23r = -31 + 8 23r = -31 + 8 Combine like terms: -31 + 8 = -23 23r = -23 Divide each side by '23'. r = -1 Simplifying r = -1
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