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Simplifying 14 + 10m = 8(m + 14) Reorder the terms: 14 + 10m = 8(14 + m) 14 + 10m = (14 * 8 + m * 8) 14 + 10m = (112 + 8m) Solving 14 + 10m = 112 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 14 + 10m + -8m = 112 + 8m + -8m Combine like terms: 10m + -8m = 2m 14 + 2m = 112 + 8m + -8m Combine like terms: 8m + -8m = 0 14 + 2m = 112 + 0 14 + 2m = 112 Add '-14' to each side of the equation. 14 + -14 + 2m = 112 + -14 Combine like terms: 14 + -14 = 0 0 + 2m = 112 + -14 2m = 112 + -14 Combine like terms: 112 + -14 = 98 2m = 98 Divide each side by '2'. m = 49 Simplifying m = 49
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