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Simplifying 2n + -1(6n + 5) = 9 + -2(3x + 4) Reorder the terms: 2n + -1(5 + 6n) = 9 + -2(3x + 4) 2n + (5 * -1 + 6n * -1) = 9 + -2(3x + 4) 2n + (-5 + -6n) = 9 + -2(3x + 4) Reorder the terms: -5 + 2n + -6n = 9 + -2(3x + 4) Combine like terms: 2n + -6n = -4n -5 + -4n = 9 + -2(3x + 4) Reorder the terms: -5 + -4n = 9 + -2(4 + 3x) -5 + -4n = 9 + (4 * -2 + 3x * -2) -5 + -4n = 9 + (-8 + -6x) Combine like terms: 9 + -8 = 1 -5 + -4n = 1 + -6x Solving -5 + -4n = 1 + -6x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4n = 1 + 5 + -6x Combine like terms: -5 + 5 = 0 0 + -4n = 1 + 5 + -6x -4n = 1 + 5 + -6x Combine like terms: 1 + 5 = 6 -4n = 6 + -6x Divide each side by '-4'. n = -1.5 + 1.5x Simplifying n = -1.5 + 1.5x
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