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Simplifying 6m + 4 = 7(m + 1) + -2m Reorder the terms: 4 + 6m = 7(m + 1) + -2m Reorder the terms: 4 + 6m = 7(1 + m) + -2m 4 + 6m = (1 * 7 + m * 7) + -2m 4 + 6m = (7 + 7m) + -2m Combine like terms: 7m + -2m = 5m 4 + 6m = 7 + 5m Solving 4 + 6m = 7 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 4 + 6m + -5m = 7 + 5m + -5m Combine like terms: 6m + -5m = 1m 4 + 1m = 7 + 5m + -5m Combine like terms: 5m + -5m = 0 4 + 1m = 7 + 0 4 + 1m = 7 Add '-4' to each side of the equation. 4 + -4 + 1m = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 1m = 7 + -4 1m = 7 + -4 Combine like terms: 7 + -4 = 3 1m = 3 Divide each side by '1'. m = 3 Simplifying m = 3
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