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Simplifying 3m + 7 + -5m = 6 + -1(2 + m) Reorder the terms: 7 + 3m + -5m = 6 + -1(2 + m) Combine like terms: 3m + -5m = -2m 7 + -2m = 6 + -1(2 + m) 7 + -2m = 6 + (2 * -1 + m * -1) 7 + -2m = 6 + (-2 + -1m) Combine like terms: 6 + -2 = 4 7 + -2m = 4 + -1m Solving 7 + -2m = 4 + -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. 7 + -2m + m = 4 + -1m + m Combine like terms: -2m + m = -1m 7 + -1m = 4 + -1m + m Combine like terms: -1m + m = 0 7 + -1m = 4 + 0 7 + -1m = 4 Add '-7' to each side of the equation. 7 + -7 + -1m = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 4 + -7 -1m = 4 + -7 Combine like terms: 4 + -7 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3
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