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Simplifying -9m + 48 + -3(m + -3) = 7m + -1(3m + -4) + -4m + 5 Reorder the terms: -9m + 48 + -3(-3 + m) = 7m + -1(3m + -4) + -4m + 5 -9m + 48 + (-3 * -3 + m * -3) = 7m + -1(3m + -4) + -4m + 5 -9m + 48 + (9 + -3m) = 7m + -1(3m + -4) + -4m + 5 Reorder the terms: 48 + 9 + -9m + -3m = 7m + -1(3m + -4) + -4m + 5 Combine like terms: 48 + 9 = 57 57 + -9m + -3m = 7m + -1(3m + -4) + -4m + 5 Combine like terms: -9m + -3m = -12m 57 + -12m = 7m + -1(3m + -4) + -4m + 5 Reorder the terms: 57 + -12m = 7m + -1(-4 + 3m) + -4m + 5 57 + -12m = 7m + (-4 * -1 + 3m * -1) + -4m + 5 57 + -12m = 7m + (4 + -3m) + -4m + 5 Reorder the terms: 57 + -12m = 4 + 5 + 7m + -3m + -4m Combine like terms: 4 + 5 = 9 57 + -12m = 9 + 7m + -3m + -4m Combine like terms: 7m + -3m = 4m 57 + -12m = 9 + 4m + -4m Combine like terms: 4m + -4m = 0 57 + -12m = 9 + 0 57 + -12m = 9 Solving 57 + -12m = 9 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -12m = 9 + -57 Combine like terms: 57 + -57 = 0 0 + -12m = 9 + -57 -12m = 9 + -57 Combine like terms: 9 + -57 = -48 -12m = -48 Divide each side by '-12'. m = 4 Simplifying m = 4
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