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Simplifying 8(m + 2) = 2m + 46 Reorder the terms: 8(2 + m) = 2m + 46 (2 * 8 + m * 8) = 2m + 46 (16 + 8m) = 2m + 46 Reorder the terms: 16 + 8m = 46 + 2m Solving 16 + 8m = 46 + 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. 16 + 8m + -2m = 46 + 2m + -2m Combine like terms: 8m + -2m = 6m 16 + 6m = 46 + 2m + -2m Combine like terms: 2m + -2m = 0 16 + 6m = 46 + 0 16 + 6m = 46 Add '-16' to each side of the equation. 16 + -16 + 6m = 46 + -16 Combine like terms: 16 + -16 = 0 0 + 6m = 46 + -16 6m = 46 + -16 Combine like terms: 46 + -16 = 30 6m = 30 Divide each side by '6'. m = 5 Simplifying m = 5
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