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Simplifying -12 + 9m + 2 = -5m + 6 + -2m Reorder the terms: -12 + 2 + 9m = -5m + 6 + -2m Combine like terms: -12 + 2 = -10 -10 + 9m = -5m + 6 + -2m Reorder the terms: -10 + 9m = 6 + -5m + -2m Combine like terms: -5m + -2m = -7m -10 + 9m = 6 + -7m Solving -10 + 9m = 6 + -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. -10 + 9m + 7m = 6 + -7m + 7m Combine like terms: 9m + 7m = 16m -10 + 16m = 6 + -7m + 7m Combine like terms: -7m + 7m = 0 -10 + 16m = 6 + 0 -10 + 16m = 6 Add '10' to each side of the equation. -10 + 10 + 16m = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 16m = 6 + 10 16m = 6 + 10 Combine like terms: 6 + 10 = 16 16m = 16 Divide each side by '16'. m = 1 Simplifying m = 1
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