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Simplifying 7m + -3m + -6 = 2m + 12 Reorder the terms: -6 + 7m + -3m = 2m + 12 Combine like terms: 7m + -3m = 4m -6 + 4m = 2m + 12 Reorder the terms: -6 + 4m = 12 + 2m Solving -6 + 4m = 12 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -6 + 4m + -2m = 12 + 2m + -2m Combine like terms: 4m + -2m = 2m -6 + 2m = 12 + 2m + -2m Combine like terms: 2m + -2m = 0 -6 + 2m = 12 + 0 -6 + 2m = 12 Add '6' to each side of the equation. -6 + 6 + 2m = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2m = 12 + 6 2m = 12 + 6 Combine like terms: 12 + 6 = 18 2m = 18 Divide each side by '2'. m = 9 Simplifying m = 9
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