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Simplifying 5(14 + m) = 292 + 2m (14 * 5 + m * 5) = 292 + 2m (70 + 5m) = 292 + 2m Solving 70 + 5m = 292 + 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. 70 + 5m + -2m = 292 + 2m + -2m Combine like terms: 5m + -2m = 3m 70 + 3m = 292 + 2m + -2m Combine like terms: 2m + -2m = 0 70 + 3m = 292 + 0 70 + 3m = 292 Add '-70' to each side of the equation. 70 + -70 + 3m = 292 + -70 Combine like terms: 70 + -70 = 0 0 + 3m = 292 + -70 3m = 292 + -70 Combine like terms: 292 + -70 = 222 3m = 222 Divide each side by '3'. m = 74 Simplifying m = 74
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