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Simplifying -2(12 + -5m) + -8(m + -5) = 38 (12 * -2 + -5m * -2) + -8(m + -5) = 38 (-24 + 10m) + -8(m + -5) = 38 Reorder the terms: -24 + 10m + -8(-5 + m) = 38 -24 + 10m + (-5 * -8 + m * -8) = 38 -24 + 10m + (40 + -8m) = 38 Reorder the terms: -24 + 40 + 10m + -8m = 38 Combine like terms: -24 + 40 = 16 16 + 10m + -8m = 38 Combine like terms: 10m + -8m = 2m 16 + 2m = 38 Solving 16 + 2m = 38 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2m = 38 + -16 Combine like terms: 16 + -16 = 0 0 + 2m = 38 + -16 2m = 38 + -16 Combine like terms: 38 + -16 = 22 2m = 22 Divide each side by '2'. m = 11 Simplifying m = 11
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