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Simplifying -31 + 8r = -7(4 + -1r) + -8 -31 + 8r = (4 * -7 + -1r * -7) + -8 -31 + 8r = (-28 + 7r) + -8 Reorder the terms: -31 + 8r = -28 + -8 + 7r Combine like terms: -28 + -8 = -36 -31 + 8r = -36 + 7r Solving -31 + 8r = -36 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -31 + 8r + -7r = -36 + 7r + -7r Combine like terms: 8r + -7r = 1r -31 + 1r = -36 + 7r + -7r Combine like terms: 7r + -7r = 0 -31 + 1r = -36 + 0 -31 + 1r = -36 Add '31' to each side of the equation. -31 + 31 + 1r = -36 + 31 Combine like terms: -31 + 31 = 0 0 + 1r = -36 + 31 1r = -36 + 31 Combine like terms: -36 + 31 = -5 1r = -5 Divide each side by '1'. r = -5 Simplifying r = -5
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