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