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Simplifying 3m + 4n = -12n + -1m + -2 Reorder the terms: 3m + 4n = -2 + -1m + -12n Solving 3m + 4n = -2 + -1m + -12n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 3m + m + 4n = -2 + -1m + m + -12n Combine like terms: 3m + m = 4m 4m + 4n = -2 + -1m + m + -12n Combine like terms: -1m + m = 0 4m + 4n = -2 + 0 + -12n 4m + 4n = -2 + -12n Add '-4n' to each side of the equation. 4m + 4n + -4n = -2 + -12n + -4n Combine like terms: 4n + -4n = 0 4m + 0 = -2 + -12n + -4n 4m = -2 + -12n + -4n Combine like terms: -12n + -4n = -16n 4m = -2 + -16n Divide each side by '4'. m = -0.5 + -4n Simplifying m = -0.5 + -4n
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