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Simplifying 109 = 7 + 3(6m + -8) Reorder the terms: 109 = 7 + 3(-8 + 6m) 109 = 7 + (-8 * 3 + 6m * 3) 109 = 7 + (-24 + 18m) Combine like terms: 7 + -24 = -17 109 = -17 + 18m Solving 109 = -17 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 109 + -18m = -17 + 18m + -18m Combine like terms: 18m + -18m = 0 109 + -18m = -17 + 0 109 + -18m = -17 Add '-109' to each side of the equation. 109 + -109 + -18m = -17 + -109 Combine like terms: 109 + -109 = 0 0 + -18m = -17 + -109 -18m = -17 + -109 Combine like terms: -17 + -109 = -126 -18m = -126 Divide each side by '-18'. m = 7 Simplifying m = 7
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