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Simplifying m + 2n + -3(m + 2n) + -1(9 + -2n) = 0 m + 2n + (m * -3 + 2n * -3) + -1(9 + -2n) = 0 m + 2n + (-3m + -6n) + -1(9 + -2n) = 0 m + 2n + -3m + -6n + (9 * -1 + -2n * -1) = 0 m + 2n + -3m + -6n + (-9 + 2n) = 0 Reorder the terms: -9 + m + -3m + 2n + -6n + 2n = 0 Combine like terms: m + -3m = -2m -9 + -2m + 2n + -6n + 2n = 0 Combine like terms: 2n + -6n = -4n -9 + -2m + -4n + 2n = 0 Combine like terms: -4n + 2n = -2n -9 + -2m + -2n = 0 Solving -9 + -2m + -2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -2m + 9 + -2n = 0 + 9 Reorder the terms: -9 + 9 + -2m + -2n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2m + -2n = 0 + 9 -2m + -2n = 0 + 9 Combine like terms: 0 + 9 = 9 -2m + -2n = 9 Add '2n' to each side of the equation. -2m + -2n + 2n = 9 + 2n Combine like terms: -2n + 2n = 0 -2m + 0 = 9 + 2n -2m = 9 + 2n Divide each side by '-2'. m = -4.5 + -1n Simplifying m = -4.5 + -1n
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