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Simplifying M + 3n + -2(m + 3n) + -1(8 + -2n) = 0 M + 3n + (m * -2 + 3n * -2) + -1(8 + -2n) = 0 M + 3n + (-2m + -6n) + -1(8 + -2n) = 0 M + 3n + -2m + -6n + (8 * -1 + -2n * -1) = 0 M + 3n + -2m + -6n + (-8 + 2n) = 0 Reorder the terms: -8 + M + -2m + 3n + -6n + 2n = 0 Combine like terms: 3n + -6n = -3n -8 + M + -2m + -3n + 2n = 0 Combine like terms: -3n + 2n = -1n -8 + M + -2m + -1n = 0 Solving -8 + M + -2m + -1n = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '8' to each side of the equation. -8 + M + -2m + 8 + -1n = 0 + 8 Reorder the terms: -8 + 8 + M + -2m + -1n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + M + -2m + -1n = 0 + 8 M + -2m + -1n = 0 + 8 Combine like terms: 0 + 8 = 8 M + -2m + -1n = 8 Add '2m' to each side of the equation. M + -2m + 2m + -1n = 8 + 2m Combine like terms: -2m + 2m = 0 M + 0 + -1n = 8 + 2m M + -1n = 8 + 2m Add 'n' to each side of the equation. M + -1n + n = 8 + 2m + n Combine like terms: -1n + n = 0 M + 0 = 8 + 2m + n M = 8 + 2m + n Simplifying M = 8 + 2m + n
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