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Simplifying 2(5 + -7m) = -38 + -8m (5 * 2 + -7m * 2) = -38 + -8m (10 + -14m) = -38 + -8m Solving 10 + -14m = -38 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 10 + -14m + 8m = -38 + -8m + 8m Combine like terms: -14m + 8m = -6m 10 + -6m = -38 + -8m + 8m Combine like terms: -8m + 8m = 0 10 + -6m = -38 + 0 10 + -6m = -38 Add '-10' to each side of the equation. 10 + -10 + -6m = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -6m = -38 + -10 -6m = -38 + -10 Combine like terms: -38 + -10 = -48 -6m = -48 Divide each side by '-6'. m = 8 Simplifying m = 8
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