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Simplifying 6m + -5 = 7m + 7 + -3m Reorder the terms: -5 + 6m = 7m + 7 + -3m Reorder the terms: -5 + 6m = 7 + 7m + -3m Combine like terms: 7m + -3m = 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 = 12 2m = 12 Divide each side by '2'. m = 6 Simplifying m = 6
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