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Simplifying 3(9 + -8m) = 7(1 + -2m) (9 * 3 + -8m * 3) = 7(1 + -2m) (27 + -24m) = 7(1 + -2m) 27 + -24m = (1 * 7 + -2m * 7) 27 + -24m = (7 + -14m) Solving 27 + -24m = 7 + -14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14m' to each side of the equation. 27 + -24m + 14m = 7 + -14m + 14m Combine like terms: -24m + 14m = -10m 27 + -10m = 7 + -14m + 14m Combine like terms: -14m + 14m = 0 27 + -10m = 7 + 0 27 + -10m = 7 Add '-27' to each side of the equation. 27 + -27 + -10m = 7 + -27 Combine like terms: 27 + -27 = 0 0 + -10m = 7 + -27 -10m = 7 + -27 Combine like terms: 7 + -27 = -20 -10m = -20 Divide each side by '-10'. m = 2 Simplifying m = 2
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