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Simplifying 3(m + 1) = 4m + -7 Reorder the terms: 3(1 + m) = 4m + -7 (1 * 3 + m * 3) = 4m + -7 (3 + 3m) = 4m + -7 Reorder the terms: 3 + 3m = -7 + 4m Solving 3 + 3m = -7 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 3 + 3m + -4m = -7 + 4m + -4m Combine like terms: 3m + -4m = -1m 3 + -1m = -7 + 4m + -4m Combine like terms: 4m + -4m = 0 3 + -1m = -7 + 0 3 + -1m = -7 Add '-3' to each side of the equation. 3 + -3 + -1m = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = -7 + -3 -1m = -7 + -3 Combine like terms: -7 + -3 = -10 -1m = -10 Divide each side by '-1'. m = 10 Simplifying m = 10
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