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Simplifying -6(m + 2) + 2(5m + -4) = 3(m + -2) + -10 Reorder the terms: -6(2 + m) + 2(5m + -4) = 3(m + -2) + -10 (2 * -6 + m * -6) + 2(5m + -4) = 3(m + -2) + -10 (-12 + -6m) + 2(5m + -4) = 3(m + -2) + -10 Reorder the terms: -12 + -6m + 2(-4 + 5m) = 3(m + -2) + -10 -12 + -6m + (-4 * 2 + 5m * 2) = 3(m + -2) + -10 -12 + -6m + (-8 + 10m) = 3(m + -2) + -10 Reorder the terms: -12 + -8 + -6m + 10m = 3(m + -2) + -10 Combine like terms: -12 + -8 = -20 -20 + -6m + 10m = 3(m + -2) + -10 Combine like terms: -6m + 10m = 4m -20 + 4m = 3(m + -2) + -10 Reorder the terms: -20 + 4m = 3(-2 + m) + -10 -20 + 4m = (-2 * 3 + m * 3) + -10 -20 + 4m = (-6 + 3m) + -10 Reorder the terms: -20 + 4m = -6 + -10 + 3m Combine like terms: -6 + -10 = -16 -20 + 4m = -16 + 3m Solving -20 + 4m = -16 + 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. -20 + 4m + -3m = -16 + 3m + -3m Combine like terms: 4m + -3m = 1m -20 + 1m = -16 + 3m + -3m Combine like terms: 3m + -3m = 0 -20 + 1m = -16 + 0 -20 + 1m = -16 Add '20' to each side of the equation. -20 + 20 + 1m = -16 + 20 Combine like terms: -20 + 20 = 0 0 + 1m = -16 + 20 1m = -16 + 20 Combine like terms: -16 + 20 = 4 1m = 4 Divide each side by '1'. m = 4 Simplifying m = 4
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