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Simplifying 2(1 + 2m) = 26 + 7m (1 * 2 + 2m * 2) = 26 + 7m (2 + 4m) = 26 + 7m Solving 2 + 4m = 26 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 2 + 4m + -7m = 26 + 7m + -7m Combine like terms: 4m + -7m = -3m 2 + -3m = 26 + 7m + -7m Combine like terms: 7m + -7m = 0 2 + -3m = 26 + 0 2 + -3m = 26 Add '-2' to each side of the equation. 2 + -2 + -3m = 26 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 26 + -2 -3m = 26 + -2 Combine like terms: 26 + -2 = 24 -3m = 24 Divide each side by '-3'. m = -8 Simplifying m = -8
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