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Simplifying 32 + 4m = -3(-5m + -2) + 2m Reorder the terms: 32 + 4m = -3(-2 + -5m) + 2m 32 + 4m = (-2 * -3 + -5m * -3) + 2m 32 + 4m = (6 + 15m) + 2m Combine like terms: 15m + 2m = 17m 32 + 4m = 6 + 17m Solving 32 + 4m = 6 + 17m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17m' to each side of the equation. 32 + 4m + -17m = 6 + 17m + -17m Combine like terms: 4m + -17m = -13m 32 + -13m = 6 + 17m + -17m Combine like terms: 17m + -17m = 0 32 + -13m = 6 + 0 32 + -13m = 6 Add '-32' to each side of the equation. 32 + -32 + -13m = 6 + -32 Combine like terms: 32 + -32 = 0 0 + -13m = 6 + -32 -13m = 6 + -32 Combine like terms: 6 + -32 = -26 -13m = -26 Divide each side by '-13'. m = 2 Simplifying m = 2
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