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Simplifying 8(m + 3) = 10m + -32 Reorder the terms: 8(3 + m) = 10m + -32 (3 * 8 + m * 8) = 10m + -32 (24 + 8m) = 10m + -32 Reorder the terms: 24 + 8m = -32 + 10m Solving 24 + 8m = -32 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 24 + 8m + -10m = -32 + 10m + -10m Combine like terms: 8m + -10m = -2m 24 + -2m = -32 + 10m + -10m Combine like terms: 10m + -10m = 0 24 + -2m = -32 + 0 24 + -2m = -32 Add '-24' to each side of the equation. 24 + -24 + -2m = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -2m = -32 + -24 -2m = -32 + -24 Combine like terms: -32 + -24 = -56 -2m = -56 Divide each side by '-2'. m = 28 Simplifying m = 28
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