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Simplifying 5(3 + 4m) + 4 = 6 + 7m (3 * 5 + 4m * 5) + 4 = 6 + 7m (15 + 20m) + 4 = 6 + 7m Reorder the terms: 15 + 4 + 20m = 6 + 7m Combine like terms: 15 + 4 = 19 19 + 20m = 6 + 7m Solving 19 + 20m = 6 + 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. 19 + 20m + -7m = 6 + 7m + -7m Combine like terms: 20m + -7m = 13m 19 + 13m = 6 + 7m + -7m Combine like terms: 7m + -7m = 0 19 + 13m = 6 + 0 19 + 13m = 6 Add '-19' to each side of the equation. 19 + -19 + 13m = 6 + -19 Combine like terms: 19 + -19 = 0 0 + 13m = 6 + -19 13m = 6 + -19 Combine like terms: 6 + -19 = -13 13m = -13 Divide each side by '13'. m = -1 Simplifying m = -1
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