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Simplifying 14(3m + 4) = 2(6m + 8) Reorder the terms: 14(4 + 3m) = 2(6m + 8) (4 * 14 + 3m * 14) = 2(6m + 8) (56 + 42m) = 2(6m + 8) Reorder the terms: 56 + 42m = 2(8 + 6m) 56 + 42m = (8 * 2 + 6m * 2) 56 + 42m = (16 + 12m) Solving 56 + 42m = 16 + 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. 56 + 42m + -12m = 16 + 12m + -12m Combine like terms: 42m + -12m = 30m 56 + 30m = 16 + 12m + -12m Combine like terms: 12m + -12m = 0 56 + 30m = 16 + 0 56 + 30m = 16 Add '-56' to each side of the equation. 56 + -56 + 30m = 16 + -56 Combine like terms: 56 + -56 = 0 0 + 30m = 16 + -56 30m = 16 + -56 Combine like terms: 16 + -56 = -40 30m = -40 Divide each side by '30'. m = -1.333333333 Simplifying m = -1.333333333
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