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Simplifying 14(2m + 3) + -8m = 4m + -4 Reorder the terms: 14(3 + 2m) + -8m = 4m + -4 (3 * 14 + 2m * 14) + -8m = 4m + -4 (42 + 28m) + -8m = 4m + -4 Combine like terms: 28m + -8m = 20m 42 + 20m = 4m + -4 Reorder the terms: 42 + 20m = -4 + 4m Solving 42 + 20m = -4 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 42 + 20m + -4m = -4 + 4m + -4m Combine like terms: 20m + -4m = 16m 42 + 16m = -4 + 4m + -4m Combine like terms: 4m + -4m = 0 42 + 16m = -4 + 0 42 + 16m = -4 Add '-42' to each side of the equation. 42 + -42 + 16m = -4 + -42 Combine like terms: 42 + -42 = 0 0 + 16m = -4 + -42 16m = -4 + -42 Combine like terms: -4 + -42 = -46 16m = -46 Divide each side by '16'. m = -2.875 Simplifying m = -2.875
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