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Simplifying 10m + -8 + 2 = 7m + 12 Reorder the terms: -8 + 2 + 10m = 7m + 12 Combine like terms: -8 + 2 = -6 -6 + 10m = 7m + 12 Reorder the terms: -6 + 10m = 12 + 7m Solving -6 + 10m = 12 + 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 + 10m + -7m = 12 + 7m + -7m Combine like terms: 10m + -7m = 3m -6 + 3m = 12 + 7m + -7m Combine like terms: 7m + -7m = 0 -6 + 3m = 12 + 0 -6 + 3m = 12 Add '6' to each side of the equation. -6 + 6 + 3m = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3m = 12 + 6 3m = 12 + 6 Combine like terms: 12 + 6 = 18 3m = 18 Divide each side by '3'. m = 6 Simplifying m = 6
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