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Simplifying 106 = 3(5 + 5m) + -2m 106 = (5 * 3 + 5m * 3) + -2m 106 = (15 + 15m) + -2m Combine like terms: 15m + -2m = 13m 106 = 15 + 13m Solving 106 = 15 + 13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13m' to each side of the equation. 106 + -13m = 15 + 13m + -13m Combine like terms: 13m + -13m = 0 106 + -13m = 15 + 0 106 + -13m = 15 Add '-106' to each side of the equation. 106 + -106 + -13m = 15 + -106 Combine like terms: 106 + -106 = 0 0 + -13m = 15 + -106 -13m = 15 + -106 Combine like terms: 15 + -106 = -91 -13m = -91 Divide each side by '-13'. m = 7 Simplifying m = 7
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