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Simplifying -4(m + 1) + -4(4 + -3m) = 7(m + 2) + -4 Reorder the terms: -4(1 + m) + -4(4 + -3m) = 7(m + 2) + -4 (1 * -4 + m * -4) + -4(4 + -3m) = 7(m + 2) + -4 (-4 + -4m) + -4(4 + -3m) = 7(m + 2) + -4 -4 + -4m + (4 * -4 + -3m * -4) = 7(m + 2) + -4 -4 + -4m + (-16 + 12m) = 7(m + 2) + -4 Reorder the terms: -4 + -16 + -4m + 12m = 7(m + 2) + -4 Combine like terms: -4 + -16 = -20 -20 + -4m + 12m = 7(m + 2) + -4 Combine like terms: -4m + 12m = 8m -20 + 8m = 7(m + 2) + -4 Reorder the terms: -20 + 8m = 7(2 + m) + -4 -20 + 8m = (2 * 7 + m * 7) + -4 -20 + 8m = (14 + 7m) + -4 Reorder the terms: -20 + 8m = 14 + -4 + 7m Combine like terms: 14 + -4 = 10 -20 + 8m = 10 + 7m Solving -20 + 8m = 10 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -20 + 8m + -7m = 10 + 7m + -7m Combine like terms: 8m + -7m = 1m -20 + 1m = 10 + 7m + -7m Combine like terms: 7m + -7m = 0 -20 + 1m = 10 + 0 -20 + 1m = 10 Add '20' to each side of the equation. -20 + 20 + 1m = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 1m = 10 + 20 1m = 10 + 20 Combine like terms: 10 + 20 = 30 1m = 30 Divide each side by '1'. m = 30 Simplifying m = 30
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