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Simplifying -31 + -1m = 2(m + -8) Reorder the terms: -31 + -1m = 2(-8 + m) -31 + -1m = (-8 * 2 + m * 2) -31 + -1m = (-16 + 2m) Solving -31 + -1m = -16 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -31 + -1m + -2m = -16 + 2m + -2m Combine like terms: -1m + -2m = -3m -31 + -3m = -16 + 2m + -2m Combine like terms: 2m + -2m = 0 -31 + -3m = -16 + 0 -31 + -3m = -16 Add '31' to each side of the equation. -31 + 31 + -3m = -16 + 31 Combine like terms: -31 + 31 = 0 0 + -3m = -16 + 31 -3m = -16 + 31 Combine like terms: -16 + 31 = 15 -3m = 15 Divide each side by '-3'. m = -5 Simplifying m = -5
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