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Simplifying -5(m + 2) + 3(3m + 6) = 3(m + -4) + 4 Reorder the terms: -5(2 + m) + 3(3m + 6) = 3(m + -4) + 4 (2 * -5 + m * -5) + 3(3m + 6) = 3(m + -4) + 4 (-10 + -5m) + 3(3m + 6) = 3(m + -4) + 4 Reorder the terms: -10 + -5m + 3(6 + 3m) = 3(m + -4) + 4 -10 + -5m + (6 * 3 + 3m * 3) = 3(m + -4) + 4 -10 + -5m + (18 + 9m) = 3(m + -4) + 4 Reorder the terms: -10 + 18 + -5m + 9m = 3(m + -4) + 4 Combine like terms: -10 + 18 = 8 8 + -5m + 9m = 3(m + -4) + 4 Combine like terms: -5m + 9m = 4m 8 + 4m = 3(m + -4) + 4 Reorder the terms: 8 + 4m = 3(-4 + m) + 4 8 + 4m = (-4 * 3 + m * 3) + 4 8 + 4m = (-12 + 3m) + 4 Reorder the terms: 8 + 4m = -12 + 4 + 3m Combine like terms: -12 + 4 = -8 8 + 4m = -8 + 3m Solving 8 + 4m = -8 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 8 + 4m + -3m = -8 + 3m + -3m Combine like terms: 4m + -3m = 1m 8 + 1m = -8 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + 1m = -8 + 0 8 + 1m = -8 Add '-8' to each side of the equation. 8 + -8 + 1m = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 1m = -8 + -8 1m = -8 + -8 Combine like terms: -8 + -8 = -16 1m = -16 Divide each side by '1'. m = -16 Simplifying m = -16
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