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Simplifying 2(4m + 9) = 6(3m + -7) Reorder the terms: 2(9 + 4m) = 6(3m + -7) (9 * 2 + 4m * 2) = 6(3m + -7) (18 + 8m) = 6(3m + -7) Reorder the terms: 18 + 8m = 6(-7 + 3m) 18 + 8m = (-7 * 6 + 3m * 6) 18 + 8m = (-42 + 18m) Solving 18 + 8m = -42 + 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. 18 + 8m + -18m = -42 + 18m + -18m Combine like terms: 8m + -18m = -10m 18 + -10m = -42 + 18m + -18m Combine like terms: 18m + -18m = 0 18 + -10m = -42 + 0 18 + -10m = -42 Add '-18' to each side of the equation. 18 + -18 + -10m = -42 + -18 Combine like terms: 18 + -18 = 0 0 + -10m = -42 + -18 -10m = -42 + -18 Combine like terms: -42 + -18 = -60 -10m = -60 Divide each side by '-10'. m = 6 Simplifying m = 6
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