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Simplifying 2(2m + -8) + 8(3 + m) = 14 Reorder the terms: 2(-8 + 2m) + 8(3 + m) = 14 (-8 * 2 + 2m * 2) + 8(3 + m) = 14 (-16 + 4m) + 8(3 + m) = 14 -16 + 4m + (3 * 8 + m * 8) = 14 -16 + 4m + (24 + 8m) = 14 Reorder the terms: -16 + 24 + 4m + 8m = 14 Combine like terms: -16 + 24 = 8 8 + 4m + 8m = 14 Combine like terms: 4m + 8m = 12m 8 + 12m = 14 Solving 8 + 12m = 14 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 12m = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 12m = 14 + -8 12m = 14 + -8 Combine like terms: 14 + -8 = 6 12m = 6 Divide each side by '12'. m = 0.5 Simplifying m = 0.5
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