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Simplifying m + 1 = 3(m + 5) + -4m Reorder the terms: 1 + m = 3(m + 5) + -4m Reorder the terms: 1 + m = 3(5 + m) + -4m 1 + m = (5 * 3 + m * 3) + -4m 1 + m = (15 + 3m) + -4m Combine like terms: 3m + -4m = -1m 1 + m = 15 + -1m Solving 1 + m = 15 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 1 + m + m = 15 + -1m + m Combine like terms: m + m = 2m 1 + 2m = 15 + -1m + m Combine like terms: -1m + m = 0 1 + 2m = 15 + 0 1 + 2m = 15 Add '-1' to each side of the equation. 1 + -1 + 2m = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 15 + -1 2m = 15 + -1 Combine like terms: 15 + -1 = 14 2m = 14 Divide each side by '2'. m = 7 Simplifying m = 7
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