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Simplifying 4(m + -3) + -8(5m + -9) = 0 Reorder the terms: 4(-3 + m) + -8(5m + -9) = 0 (-3 * 4 + m * 4) + -8(5m + -9) = 0 (-12 + 4m) + -8(5m + -9) = 0 Reorder the terms: -12 + 4m + -8(-9 + 5m) = 0 -12 + 4m + (-9 * -8 + 5m * -8) = 0 -12 + 4m + (72 + -40m) = 0 Reorder the terms: -12 + 72 + 4m + -40m = 0 Combine like terms: -12 + 72 = 60 60 + 4m + -40m = 0 Combine like terms: 4m + -40m = -36m 60 + -36m = 0 Solving 60 + -36m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -36m = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -36m = 0 + -60 -36m = 0 + -60 Combine like terms: 0 + -60 = -60 -36m = -60 Divide each side by '-36'. m = 1.666666667 Simplifying m = 1.666666667
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