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Simplifying 2m + 23 = 5(1 + 4m) Reorder the terms: 23 + 2m = 5(1 + 4m) 23 + 2m = (1 * 5 + 4m * 5) 23 + 2m = (5 + 20m) Solving 23 + 2m = 5 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 23 + 2m + -20m = 5 + 20m + -20m Combine like terms: 2m + -20m = -18m 23 + -18m = 5 + 20m + -20m Combine like terms: 20m + -20m = 0 23 + -18m = 5 + 0 23 + -18m = 5 Add '-23' to each side of the equation. 23 + -23 + -18m = 5 + -23 Combine like terms: 23 + -23 = 0 0 + -18m = 5 + -23 -18m = 5 + -23 Combine like terms: 5 + -23 = -18 -18m = -18 Divide each side by '-18'. m = 1 Simplifying m = 1
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