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Simplifying 8m + -2(6m + -5) = 34 + 8m Reorder the terms: 8m + -2(-5 + 6m) = 34 + 8m 8m + (-5 * -2 + 6m * -2) = 34 + 8m 8m + (10 + -12m) = 34 + 8m Reorder the terms: 10 + 8m + -12m = 34 + 8m Combine like terms: 8m + -12m = -4m 10 + -4m = 34 + 8m Solving 10 + -4m = 34 + 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 + -4m + -8m = 34 + 8m + -8m Combine like terms: -4m + -8m = -12m 10 + -12m = 34 + 8m + -8m Combine like terms: 8m + -8m = 0 10 + -12m = 34 + 0 10 + -12m = 34 Add '-10' to each side of the equation. 10 + -10 + -12m = 34 + -10 Combine like terms: 10 + -10 = 0 0 + -12m = 34 + -10 -12m = 34 + -10 Combine like terms: 34 + -10 = 24 -12m = 24 Divide each side by '-12'. m = -2 Simplifying m = -2
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