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Simplifying 3m + 6 + -1m + -8 = 4m + 12 Reorder the terms: 6 + -8 + 3m + -1m = 4m + 12 Combine like terms: 6 + -8 = -2 -2 + 3m + -1m = 4m + 12 Combine like terms: 3m + -1m = 2m -2 + 2m = 4m + 12 Reorder the terms: -2 + 2m = 12 + 4m Solving -2 + 2m = 12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -2 + 2m + -4m = 12 + 4m + -4m Combine like terms: 2m + -4m = -2m -2 + -2m = 12 + 4m + -4m Combine like terms: 4m + -4m = 0 -2 + -2m = 12 + 0 -2 + -2m = 12 Add '2' to each side of the equation. -2 + 2 + -2m = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -2m = 12 + 2 -2m = 12 + 2 Combine like terms: 12 + 2 = 14 -2m = 14 Divide each side by '-2'. m = -7 Simplifying m = -7
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