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Simplifying 7 + 5(3m + -2) = -4 + 3(m + -5 + 2m) Reorder the terms: 7 + 5(-2 + 3m) = -4 + 3(m + -5 + 2m) 7 + (-2 * 5 + 3m * 5) = -4 + 3(m + -5 + 2m) 7 + (-10 + 15m) = -4 + 3(m + -5 + 2m) Combine like terms: 7 + -10 = -3 -3 + 15m = -4 + 3(m + -5 + 2m) Reorder the terms: -3 + 15m = -4 + 3(-5 + m + 2m) Combine like terms: m + 2m = 3m -3 + 15m = -4 + 3(-5 + 3m) -3 + 15m = -4 + (-5 * 3 + 3m * 3) -3 + 15m = -4 + (-15 + 9m) Combine like terms: -4 + -15 = -19 -3 + 15m = -19 + 9m Solving -3 + 15m = -19 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -3 + 15m + -9m = -19 + 9m + -9m Combine like terms: 15m + -9m = 6m -3 + 6m = -19 + 9m + -9m Combine like terms: 9m + -9m = 0 -3 + 6m = -19 + 0 -3 + 6m = -19 Add '3' to each side of the equation. -3 + 3 + 6m = -19 + 3 Combine like terms: -3 + 3 = 0 0 + 6m = -19 + 3 6m = -19 + 3 Combine like terms: -19 + 3 = -16 6m = -16 Divide each side by '6'. m = -2.666666667 Simplifying m = -2.666666667
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