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Simplifying 5m + -7 = 6m + 1 + 3m Reorder the terms: -7 + 5m = 6m + 1 + 3m Reorder the terms: -7 + 5m = 1 + 6m + 3m Combine like terms: 6m + 3m = 9m -7 + 5m = 1 + 9m Solving -7 + 5m = 1 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -7 + 5m + -9m = 1 + 9m + -9m Combine like terms: 5m + -9m = -4m -7 + -4m = 1 + 9m + -9m Combine like terms: 9m + -9m = 0 -7 + -4m = 1 + 0 -7 + -4m = 1 Add '7' to each side of the equation. -7 + 7 + -4m = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -4m = 1 + 7 -4m = 1 + 7 Combine like terms: 1 + 7 = 8 -4m = 8 Divide each side by '-4'. m = -2 Simplifying m = -2
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