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Simplifying 8(m + 7) = 32 + 2m Reorder the terms: 8(7 + m) = 32 + 2m (7 * 8 + m * 8) = 32 + 2m (56 + 8m) = 32 + 2m Solving 56 + 8m = 32 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 56 + 8m + -2m = 32 + 2m + -2m Combine like terms: 8m + -2m = 6m 56 + 6m = 32 + 2m + -2m Combine like terms: 2m + -2m = 0 56 + 6m = 32 + 0 56 + 6m = 32 Add '-56' to each side of the equation. 56 + -56 + 6m = 32 + -56 Combine like terms: 56 + -56 = 0 0 + 6m = 32 + -56 6m = 32 + -56 Combine like terms: 32 + -56 = -24 6m = -24 Divide each side by '6'. m = -4 Simplifying m = -4
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