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Simplifying 3m + -4 + 6n + -12 = m + 2n + 6 Reorder the terms: -4 + -12 + 3m + 6n = m + 2n + 6 Combine like terms: -4 + -12 = -16 -16 + 3m + 6n = m + 2n + 6 Reorder the terms: -16 + 3m + 6n = 6 + m + 2n Solving -16 + 3m + 6n = 6 + m + 2n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -16 + 3m + -1m + 6n = 6 + m + -1m + 2n Combine like terms: 3m + -1m = 2m -16 + 2m + 6n = 6 + m + -1m + 2n Combine like terms: m + -1m = 0 -16 + 2m + 6n = 6 + 0 + 2n -16 + 2m + 6n = 6 + 2n Add '16' to each side of the equation. -16 + 2m + 16 + 6n = 6 + 16 + 2n Reorder the terms: -16 + 16 + 2m + 6n = 6 + 16 + 2n Combine like terms: -16 + 16 = 0 0 + 2m + 6n = 6 + 16 + 2n 2m + 6n = 6 + 16 + 2n Combine like terms: 6 + 16 = 22 2m + 6n = 22 + 2n Add '-6n' to each side of the equation. 2m + 6n + -6n = 22 + 2n + -6n Combine like terms: 6n + -6n = 0 2m + 0 = 22 + 2n + -6n 2m = 22 + 2n + -6n Combine like terms: 2n + -6n = -4n 2m = 22 + -4n Divide each side by '2'. m = 11 + -2n Simplifying m = 11 + -2n
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