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Simplifying 32 + 6m = -3 + 5(m + 6) Reorder the terms: 32 + 6m = -3 + 5(6 + m) 32 + 6m = -3 + (6 * 5 + m * 5) 32 + 6m = -3 + (30 + 5m) Combine like terms: -3 + 30 = 27 32 + 6m = 27 + 5m Solving 32 + 6m = 27 + 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. 32 + 6m + -5m = 27 + 5m + -5m Combine like terms: 6m + -5m = 1m 32 + 1m = 27 + 5m + -5m Combine like terms: 5m + -5m = 0 32 + 1m = 27 + 0 32 + 1m = 27 Add '-32' to each side of the equation. 32 + -32 + 1m = 27 + -32 Combine like terms: 32 + -32 = 0 0 + 1m = 27 + -32 1m = 27 + -32 Combine like terms: 27 + -32 = -5 1m = -5 Divide each side by '1'. m = -5 Simplifying m = -5
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