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Simplifying 32 + 8m = 6(m + 5) Reorder the terms: 32 + 8m = 6(5 + m) 32 + 8m = (5 * 6 + m * 6) 32 + 8m = (30 + 6m) Solving 32 + 8m = 30 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 32 + 8m + -6m = 30 + 6m + -6m Combine like terms: 8m + -6m = 2m 32 + 2m = 30 + 6m + -6m Combine like terms: 6m + -6m = 0 32 + 2m = 30 + 0 32 + 2m = 30 Add '-32' to each side of the equation. 32 + -32 + 2m = 30 + -32 Combine like terms: 32 + -32 = 0 0 + 2m = 30 + -32 2m = 30 + -32 Combine like terms: 30 + -32 = -2 2m = -2 Divide each side by '2'. m = -1 Simplifying m = -1
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