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Simplifying 3 + 18m + -2 = 8m + 106 + -5m Reorder the terms: 3 + -2 + 18m = 8m + 106 + -5m Combine like terms: 3 + -2 = 1 1 + 18m = 8m + 106 + -5m Reorder the terms: 1 + 18m = 106 + 8m + -5m Combine like terms: 8m + -5m = 3m 1 + 18m = 106 + 3m Solving 1 + 18m = 106 + 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. 1 + 18m + -3m = 106 + 3m + -3m Combine like terms: 18m + -3m = 15m 1 + 15m = 106 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + 15m = 106 + 0 1 + 15m = 106 Add '-1' to each side of the equation. 1 + -1 + 15m = 106 + -1 Combine like terms: 1 + -1 = 0 0 + 15m = 106 + -1 15m = 106 + -1 Combine like terms: 106 + -1 = 105 15m = 105 Divide each side by '15'. m = 7 Simplifying m = 7
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