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Simplifying 14(5m + 2) = -7(3m + 25) Reorder the terms: 14(2 + 5m) = -7(3m + 25) (2 * 14 + 5m * 14) = -7(3m + 25) (28 + 70m) = -7(3m + 25) Reorder the terms: 28 + 70m = -7(25 + 3m) 28 + 70m = (25 * -7 + 3m * -7) 28 + 70m = (-175 + -21m) Solving 28 + 70m = -175 + -21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21m' to each side of the equation. 28 + 70m + 21m = -175 + -21m + 21m Combine like terms: 70m + 21m = 91m 28 + 91m = -175 + -21m + 21m Combine like terms: -21m + 21m = 0 28 + 91m = -175 + 0 28 + 91m = -175 Add '-28' to each side of the equation. 28 + -28 + 91m = -175 + -28 Combine like terms: 28 + -28 = 0 0 + 91m = -175 + -28 91m = -175 + -28 Combine like terms: -175 + -28 = -203 91m = -203 Divide each side by '91'. m = -2.230769231 Simplifying m = -2.230769231
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