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