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Simplifying 3(m + 4) + -5(2m + 1) = -4m + 9 Reorder the terms: 3(4 + m) + -5(2m + 1) = -4m + 9 (4 * 3 + m * 3) + -5(2m + 1) = -4m + 9 (12 + 3m) + -5(2m + 1) = -4m + 9 Reorder the terms: 12 + 3m + -5(1 + 2m) = -4m + 9 12 + 3m + (1 * -5 + 2m * -5) = -4m + 9 12 + 3m + (-5 + -10m) = -4m + 9 Reorder the terms: 12 + -5 + 3m + -10m = -4m + 9 Combine like terms: 12 + -5 = 7 7 + 3m + -10m = -4m + 9 Combine like terms: 3m + -10m = -7m 7 + -7m = -4m + 9 Reorder the terms: 7 + -7m = 9 + -4m Solving 7 + -7m = 9 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 7 + -7m + 4m = 9 + -4m + 4m Combine like terms: -7m + 4m = -3m 7 + -3m = 9 + -4m + 4m Combine like terms: -4m + 4m = 0 7 + -3m = 9 + 0 7 + -3m = 9 Add '-7' to each side of the equation. 7 + -7 + -3m = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = 9 + -7 -3m = 9 + -7 Combine like terms: 9 + -7 = 2 -3m = 2 Divide each side by '-3'. m = -0.6666666667 Simplifying m = -0.6666666667
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