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Simplifying 2(m + -1) + 3(3 + -2m) = -5(m + 5) + 9 Reorder the terms: 2(-1 + m) + 3(3 + -2m) = -5(m + 5) + 9 (-1 * 2 + m * 2) + 3(3 + -2m) = -5(m + 5) + 9 (-2 + 2m) + 3(3 + -2m) = -5(m + 5) + 9 -2 + 2m + (3 * 3 + -2m * 3) = -5(m + 5) + 9 -2 + 2m + (9 + -6m) = -5(m + 5) + 9 Reorder the terms: -2 + 9 + 2m + -6m = -5(m + 5) + 9 Combine like terms: -2 + 9 = 7 7 + 2m + -6m = -5(m + 5) + 9 Combine like terms: 2m + -6m = -4m 7 + -4m = -5(m + 5) + 9 Reorder the terms: 7 + -4m = -5(5 + m) + 9 7 + -4m = (5 * -5 + m * -5) + 9 7 + -4m = (-25 + -5m) + 9 Reorder the terms: 7 + -4m = -25 + 9 + -5m Combine like terms: -25 + 9 = -16 7 + -4m = -16 + -5m Solving 7 + -4m = -16 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 7 + -4m + 5m = -16 + -5m + 5m Combine like terms: -4m + 5m = 1m 7 + 1m = -16 + -5m + 5m Combine like terms: -5m + 5m = 0 7 + 1m = -16 + 0 7 + 1m = -16 Add '-7' to each side of the equation. 7 + -7 + 1m = -16 + -7 Combine like terms: 7 + -7 = 0 0 + 1m = -16 + -7 1m = -16 + -7 Combine like terms: -16 + -7 = -23 1m = -23 Divide each side by '1'. m = -23 Simplifying m = -23
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