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Simplifying -3m + 24 + -3(m + -4) = 6m + -1(4m + -5) + -2m + 1 Reorder the terms: -3m + 24 + -3(-4 + m) = 6m + -1(4m + -5) + -2m + 1 -3m + 24 + (-4 * -3 + m * -3) = 6m + -1(4m + -5) + -2m + 1 -3m + 24 + (12 + -3m) = 6m + -1(4m + -5) + -2m + 1 Reorder the terms: 24 + 12 + -3m + -3m = 6m + -1(4m + -5) + -2m + 1 Combine like terms: 24 + 12 = 36 36 + -3m + -3m = 6m + -1(4m + -5) + -2m + 1 Combine like terms: -3m + -3m = -6m 36 + -6m = 6m + -1(4m + -5) + -2m + 1 Reorder the terms: 36 + -6m = 6m + -1(-5 + 4m) + -2m + 1 36 + -6m = 6m + (-5 * -1 + 4m * -1) + -2m + 1 36 + -6m = 6m + (5 + -4m) + -2m + 1 Reorder the terms: 36 + -6m = 5 + 1 + 6m + -4m + -2m Combine like terms: 5 + 1 = 6 36 + -6m = 6 + 6m + -4m + -2m Combine like terms: 6m + -4m = 2m 36 + -6m = 6 + 2m + -2m Combine like terms: 2m + -2m = 0 36 + -6m = 6 + 0 36 + -6m = 6 Solving 36 + -6m = 6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -6m = 6 + -36 Combine like terms: 36 + -36 = 0 0 + -6m = 6 + -36 -6m = 6 + -36 Combine like terms: 6 + -36 = -30 -6m = -30 Divide each side by '-6'. m = 5 Simplifying m = 5
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