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Simplifying 42 = 6(2m + -5) Reorder the terms: 42 = 6(-5 + 2m) 42 = (-5 * 6 + 2m * 6) 42 = (-30 + 12m) Solving 42 = -30 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 42 + -12m = -30 + 12m + -12m Combine like terms: 12m + -12m = 0 42 + -12m = -30 + 0 42 + -12m = -30 Add '-42' to each side of the equation. 42 + -42 + -12m = -30 + -42 Combine like terms: 42 + -42 = 0 0 + -12m = -30 + -42 -12m = -30 + -42 Combine like terms: -30 + -42 = -72 -12m = -72 Divide each side by '-12'. m = 6 Simplifying m = 6
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