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Simplifying 3(m + 1) = 11 + 7m Reorder the terms: 3(1 + m) = 11 + 7m (1 * 3 + m * 3) = 11 + 7m (3 + 3m) = 11 + 7m Solving 3 + 3m = 11 + 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. 3 + 3m + -7m = 11 + 7m + -7m Combine like terms: 3m + -7m = -4m 3 + -4m = 11 + 7m + -7m Combine like terms: 7m + -7m = 0 3 + -4m = 11 + 0 3 + -4m = 11 Add '-3' to each side of the equation. 3 + -3 + -4m = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -4m = 11 + -3 -4m = 11 + -3 Combine like terms: 11 + -3 = 8 -4m = 8 Divide each side by '-4'. m = -2 Simplifying m = -2
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