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Simplifying 7(2m + 13) = 12m + 42 Reorder the terms: 7(13 + 2m) = 12m + 42 (13 * 7 + 2m * 7) = 12m + 42 (91 + 14m) = 12m + 42 Reorder the terms: 91 + 14m = 42 + 12m Solving 91 + 14m = 42 + 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. 91 + 14m + -12m = 42 + 12m + -12m Combine like terms: 14m + -12m = 2m 91 + 2m = 42 + 12m + -12m Combine like terms: 12m + -12m = 0 91 + 2m = 42 + 0 91 + 2m = 42 Add '-91' to each side of the equation. 91 + -91 + 2m = 42 + -91 Combine like terms: 91 + -91 = 0 0 + 2m = 42 + -91 2m = 42 + -91 Combine like terms: 42 + -91 = -49 2m = -49 Divide each side by '2'. m = -24.5 Simplifying m = -24.5
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