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Simplifying m + 2 + -6 = -12 + 2m Reorder the terms: 2 + -6 + m = -12 + 2m Combine like terms: 2 + -6 = -4 -4 + m = -12 + 2m Solving -4 + m = -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. -4 + m + -2m = -12 + 2m + -2m Combine like terms: m + -2m = -1m -4 + -1m = -12 + 2m + -2m Combine like terms: 2m + -2m = 0 -4 + -1m = -12 + 0 -4 + -1m = -12 Add '4' to each side of the equation. -4 + 4 + -1m = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -1m = -12 + 4 -1m = -12 + 4 Combine like terms: -12 + 4 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8
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