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Simplifying -6m + 42 + -4(m + -3) = 9m + -1(7m + -9) + -2m + 5 Reorder the terms: -6m + 42 + -4(-3 + m) = 9m + -1(7m + -9) + -2m + 5 -6m + 42 + (-3 * -4 + m * -4) = 9m + -1(7m + -9) + -2m + 5 -6m + 42 + (12 + -4m) = 9m + -1(7m + -9) + -2m + 5 Reorder the terms: 42 + 12 + -6m + -4m = 9m + -1(7m + -9) + -2m + 5 Combine like terms: 42 + 12 = 54 54 + -6m + -4m = 9m + -1(7m + -9) + -2m + 5 Combine like terms: -6m + -4m = -10m 54 + -10m = 9m + -1(7m + -9) + -2m + 5 Reorder the terms: 54 + -10m = 9m + -1(-9 + 7m) + -2m + 5 54 + -10m = 9m + (-9 * -1 + 7m * -1) + -2m + 5 54 + -10m = 9m + (9 + -7m) + -2m + 5 Reorder the terms: 54 + -10m = 9 + 5 + 9m + -7m + -2m Combine like terms: 9 + 5 = 14 54 + -10m = 14 + 9m + -7m + -2m Combine like terms: 9m + -7m = 2m 54 + -10m = 14 + 2m + -2m Combine like terms: 2m + -2m = 0 54 + -10m = 14 + 0 54 + -10m = 14 Solving 54 + -10m = 14 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -10m = 14 + -54 Combine like terms: 54 + -54 = 0 0 + -10m = 14 + -54 -10m = 14 + -54 Combine like terms: 14 + -54 = -40 -10m = -40 Divide each side by '-10'. m = 4 Simplifying m = 4
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