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Simplifying 5(m + -2) + 2 = -5 + -1(2m + 3) + -2m Reorder the terms: 5(-2 + m) + 2 = -5 + -1(2m + 3) + -2m (-2 * 5 + m * 5) + 2 = -5 + -1(2m + 3) + -2m (-10 + 5m) + 2 = -5 + -1(2m + 3) + -2m Reorder the terms: -10 + 2 + 5m = -5 + -1(2m + 3) + -2m Combine like terms: -10 + 2 = -8 -8 + 5m = -5 + -1(2m + 3) + -2m Reorder the terms: -8 + 5m = -5 + -1(3 + 2m) + -2m -8 + 5m = -5 + (3 * -1 + 2m * -1) + -2m -8 + 5m = -5 + (-3 + -2m) + -2m Combine like terms: -5 + -3 = -8 -8 + 5m = -8 + -2m + -2m Combine like terms: -2m + -2m = -4m -8 + 5m = -8 + -4m Add '8' to each side of the equation. -8 + 8 + 5m = -8 + 8 + -4m Combine like terms: -8 + 8 = 0 0 + 5m = -8 + 8 + -4m 5m = -8 + 8 + -4m Combine like terms: -8 + 8 = 0 5m = 0 + -4m 5m = -4m Solving 5m = -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. 5m + 4m = -4m + 4m Combine like terms: 5m + 4m = 9m 9m = -4m + 4m Combine like terms: -4m + 4m = 0 9m = 0 Divide each side by '9'. m = 0 Simplifying m = 0
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