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Simplifying 5(m + -12) + -4(6m + -1) = 20 Reorder the terms: 5(-12 + m) + -4(6m + -1) = 20 (-12 * 5 + m * 5) + -4(6m + -1) = 20 (-60 + 5m) + -4(6m + -1) = 20 Reorder the terms: -60 + 5m + -4(-1 + 6m) = 20 -60 + 5m + (-1 * -4 + 6m * -4) = 20 -60 + 5m + (4 + -24m) = 20 Reorder the terms: -60 + 4 + 5m + -24m = 20 Combine like terms: -60 + 4 = -56 -56 + 5m + -24m = 20 Combine like terms: 5m + -24m = -19m -56 + -19m = 20 Solving -56 + -19m = 20 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -19m = 20 + 56 Combine like terms: -56 + 56 = 0 0 + -19m = 20 + 56 -19m = 20 + 56 Combine like terms: 20 + 56 = 76 -19m = 76 Divide each side by '-19'. m = -4 Simplifying m = -4
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