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Simplifying 3m + 7 = 4(m + 1) + 6 Reorder the terms: 7 + 3m = 4(m + 1) + 6 Reorder the terms: 7 + 3m = 4(1 + m) + 6 7 + 3m = (1 * 4 + m * 4) + 6 7 + 3m = (4 + 4m) + 6 Reorder the terms: 7 + 3m = 4 + 6 + 4m Combine like terms: 4 + 6 = 10 7 + 3m = 10 + 4m Solving 7 + 3m = 10 + 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. 7 + 3m + -4m = 10 + 4m + -4m Combine like terms: 3m + -4m = -1m 7 + -1m = 10 + 4m + -4m Combine like terms: 4m + -4m = 0 7 + -1m = 10 + 0 7 + -1m = 10 Add '-7' to each side of the equation. 7 + -7 + -1m = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 10 + -7 -1m = 10 + -7 Combine like terms: 10 + -7 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3
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