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Simplifying 7m + -5 = 7m + 7 + -1m Reorder the terms: -5 + 7m = 7m + 7 + -1m Reorder the terms: -5 + 7m = 7 + 7m + -1m Combine like terms: 7m + -1m = 6m -5 + 7m = 7 + 6m Solving -5 + 7m = 7 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -5 + 7m + -6m = 7 + 6m + -6m Combine like terms: 7m + -6m = 1m -5 + 1m = 7 + 6m + -6m Combine like terms: 6m + -6m = 0 -5 + 1m = 7 + 0 -5 + 1m = 7 Add '5' to each side of the equation. -5 + 5 + 1m = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 1m = 7 + 5 1m = 7 + 5 Combine like terms: 7 + 5 = 12 1m = 12 Divide each side by '1'. m = 12 Simplifying m = 12
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