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Simplifying 8(m + 4) + 7(1 + -2m) = -7(m + -4) + -9 Reorder the terms: 8(4 + m) + 7(1 + -2m) = -7(m + -4) + -9 (4 * 8 + m * 8) + 7(1 + -2m) = -7(m + -4) + -9 (32 + 8m) + 7(1 + -2m) = -7(m + -4) + -9 32 + 8m + (1 * 7 + -2m * 7) = -7(m + -4) + -9 32 + 8m + (7 + -14m) = -7(m + -4) + -9 Reorder the terms: 32 + 7 + 8m + -14m = -7(m + -4) + -9 Combine like terms: 32 + 7 = 39 39 + 8m + -14m = -7(m + -4) + -9 Combine like terms: 8m + -14m = -6m 39 + -6m = -7(m + -4) + -9 Reorder the terms: 39 + -6m = -7(-4 + m) + -9 39 + -6m = (-4 * -7 + m * -7) + -9 39 + -6m = (28 + -7m) + -9 Reorder the terms: 39 + -6m = 28 + -9 + -7m Combine like terms: 28 + -9 = 19 39 + -6m = 19 + -7m Solving 39 + -6m = 19 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 39 + -6m + 7m = 19 + -7m + 7m Combine like terms: -6m + 7m = 1m 39 + 1m = 19 + -7m + 7m Combine like terms: -7m + 7m = 0 39 + 1m = 19 + 0 39 + 1m = 19 Add '-39' to each side of the equation. 39 + -39 + 1m = 19 + -39 Combine like terms: 39 + -39 = 0 0 + 1m = 19 + -39 1m = 19 + -39 Combine like terms: 19 + -39 = -20 1m = -20 Divide each side by '1'. m = -20 Simplifying m = -20
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