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Simplifying 32 + -5m = 6 + -3(m + -4) Reorder the terms: 32 + -5m = 6 + -3(-4 + m) 32 + -5m = 6 + (-4 * -3 + m * -3) 32 + -5m = 6 + (12 + -3m) Combine like terms: 6 + 12 = 18 32 + -5m = 18 + -3m Solving 32 + -5m = 18 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 32 + -5m + 3m = 18 + -3m + 3m Combine like terms: -5m + 3m = -2m 32 + -2m = 18 + -3m + 3m Combine like terms: -3m + 3m = 0 32 + -2m = 18 + 0 32 + -2m = 18 Add '-32' to each side of the equation. 32 + -32 + -2m = 18 + -32 Combine like terms: 32 + -32 = 0 0 + -2m = 18 + -32 -2m = 18 + -32 Combine like terms: 18 + -32 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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