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Simplifying 3 + 5(m + -2) = 4(14 + -1m) Reorder the terms: 3 + 5(-2 + m) = 4(14 + -1m) 3 + (-2 * 5 + m * 5) = 4(14 + -1m) 3 + (-10 + 5m) = 4(14 + -1m) Combine like terms: 3 + -10 = -7 -7 + 5m = 4(14 + -1m) -7 + 5m = (14 * 4 + -1m * 4) -7 + 5m = (56 + -4m) Solving -7 + 5m = 56 + -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. -7 + 5m + 4m = 56 + -4m + 4m Combine like terms: 5m + 4m = 9m -7 + 9m = 56 + -4m + 4m Combine like terms: -4m + 4m = 0 -7 + 9m = 56 + 0 -7 + 9m = 56 Add '7' to each side of the equation. -7 + 7 + 9m = 56 + 7 Combine like terms: -7 + 7 = 0 0 + 9m = 56 + 7 9m = 56 + 7 Combine like terms: 56 + 7 = 63 9m = 63 Divide each side by '9'. m = 7 Simplifying m = 7
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