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Simplifying 7(m + 4) = 3 + 3(7 + m) Reorder the terms: 7(4 + m) = 3 + 3(7 + m) (4 * 7 + m * 7) = 3 + 3(7 + m) (28 + 7m) = 3 + 3(7 + m) 28 + 7m = 3 + (7 * 3 + m * 3) 28 + 7m = 3 + (21 + 3m) Combine like terms: 3 + 21 = 24 28 + 7m = 24 + 3m Solving 28 + 7m = 24 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 28 + 7m + -3m = 24 + 3m + -3m Combine like terms: 7m + -3m = 4m 28 + 4m = 24 + 3m + -3m Combine like terms: 3m + -3m = 0 28 + 4m = 24 + 0 28 + 4m = 24 Add '-28' to each side of the equation. 28 + -28 + 4m = 24 + -28 Combine like terms: 28 + -28 = 0 0 + 4m = 24 + -28 4m = 24 + -28 Combine like terms: 24 + -28 = -4 4m = -4 Divide each side by '4'. m = -1 Simplifying m = -1
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