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Simplifying 18 + -1(5m + 6) = 5 + 3m + -17 Reorder the terms: 18 + -1(6 + 5m) = 5 + 3m + -17 18 + (6 * -1 + 5m * -1) = 5 + 3m + -17 18 + (-6 + -5m) = 5 + 3m + -17 Combine like terms: 18 + -6 = 12 12 + -5m = 5 + 3m + -17 Reorder the terms: 12 + -5m = 5 + -17 + 3m Combine like terms: 5 + -17 = -12 12 + -5m = -12 + 3m Solving 12 + -5m = -12 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 12 + -5m + -3m = -12 + 3m + -3m Combine like terms: -5m + -3m = -8m 12 + -8m = -12 + 3m + -3m Combine like terms: 3m + -3m = 0 12 + -8m = -12 + 0 12 + -8m = -12 Add '-12' to each side of the equation. 12 + -12 + -8m = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8m = -12 + -12 -8m = -12 + -12 Combine like terms: -12 + -12 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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