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Simplifying 3m + 7 = 6m + -1(m + 5) Reorder the terms: 7 + 3m = 6m + -1(m + 5) Reorder the terms: 7 + 3m = 6m + -1(5 + m) 7 + 3m = 6m + (5 * -1 + m * -1) 7 + 3m = 6m + (-5 + -1m) Reorder the terms: 7 + 3m = -5 + 6m + -1m Combine like terms: 6m + -1m = 5m 7 + 3m = -5 + 5m Solving 7 + 3m = -5 + 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. 7 + 3m + -5m = -5 + 5m + -5m Combine like terms: 3m + -5m = -2m 7 + -2m = -5 + 5m + -5m Combine like terms: 5m + -5m = 0 7 + -2m = -5 + 0 7 + -2m = -5 Add '-7' to each side of the equation. 7 + -7 + -2m = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = -5 + -7 -2m = -5 + -7 Combine like terms: -5 + -7 = -12 -2m = -12 Divide each side by '-2'. m = 6 Simplifying m = 6
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