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Simplifying -4(-6m + -3) + 5(6m + -4) = 48 Reorder the terms: -4(-3 + -6m) + 5(6m + -4) = 48 (-3 * -4 + -6m * -4) + 5(6m + -4) = 48 (12 + 24m) + 5(6m + -4) = 48 Reorder the terms: 12 + 24m + 5(-4 + 6m) = 48 12 + 24m + (-4 * 5 + 6m * 5) = 48 12 + 24m + (-20 + 30m) = 48 Reorder the terms: 12 + -20 + 24m + 30m = 48 Combine like terms: 12 + -20 = -8 -8 + 24m + 30m = 48 Combine like terms: 24m + 30m = 54m -8 + 54m = 48 Solving -8 + 54m = 48 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 54m = 48 + 8 Combine like terms: -8 + 8 = 0 0 + 54m = 48 + 8 54m = 48 + 8 Combine like terms: 48 + 8 = 56 54m = 56 Divide each side by '54'. m = 1.037037037 Simplifying m = 1.037037037
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