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Simplifying 7m + -6 + 2m = 8 + 7m Reorder the terms: -6 + 7m + 2m = 8 + 7m Combine like terms: 7m + 2m = 9m -6 + 9m = 8 + 7m Solving -6 + 9m = 8 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -6 + 9m + -7m = 8 + 7m + -7m Combine like terms: 9m + -7m = 2m -6 + 2m = 8 + 7m + -7m Combine like terms: 7m + -7m = 0 -6 + 2m = 8 + 0 -6 + 2m = 8 Add '6' to each side of the equation. -6 + 6 + 2m = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2m = 8 + 6 2m = 8 + 6 Combine like terms: 8 + 6 = 14 2m = 14 Divide each side by '2'. m = 7 Simplifying m = 7
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