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Simplifying 27 = 3(1 + -4m) + -8(8 + -7m) 27 = (1 * 3 + -4m * 3) + -8(8 + -7m) 27 = (3 + -12m) + -8(8 + -7m) 27 = 3 + -12m + (8 * -8 + -7m * -8) 27 = 3 + -12m + (-64 + 56m) Reorder the terms: 27 = 3 + -64 + -12m + 56m Combine like terms: 3 + -64 = -61 27 = -61 + -12m + 56m Combine like terms: -12m + 56m = 44m 27 = -61 + 44m Solving 27 = -61 + 44m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-44m' to each side of the equation. 27 + -44m = -61 + 44m + -44m Combine like terms: 44m + -44m = 0 27 + -44m = -61 + 0 27 + -44m = -61 Add '-27' to each side of the equation. 27 + -27 + -44m = -61 + -27 Combine like terms: 27 + -27 = 0 0 + -44m = -61 + -27 -44m = -61 + -27 Combine like terms: -61 + -27 = -88 -44m = -88 Divide each side by '-44'. m = 2 Simplifying m = 2
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