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Simplifying 3m + -6 = 5m + 7 + -1m Reorder the terms: -6 + 3m = 5m + 7 + -1m Reorder the terms: -6 + 3m = 7 + 5m + -1m Combine like terms: 5m + -1m = 4m -6 + 3m = 7 + 4m Solving -6 + 3m = 7 + 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. -6 + 3m + -4m = 7 + 4m + -4m Combine like terms: 3m + -4m = -1m -6 + -1m = 7 + 4m + -4m Combine like terms: 4m + -4m = 0 -6 + -1m = 7 + 0 -6 + -1m = 7 Add '6' to each side of the equation. -6 + 6 + -1m = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -1m = 7 + 6 -1m = 7 + 6 Combine like terms: 7 + 6 = 13 -1m = 13 Divide each side by '-1'. m = -13 Simplifying m = -13
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