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Simplifying (8x + -4) + -1(9n + -1) = 12 Reorder the terms: (-4 + 8x) + -1(9n + -1) = 12 Remove parenthesis around (-4 + 8x) -4 + 8x + -1(9n + -1) = 12 Reorder the terms: -4 + 8x + -1(-1 + 9n) = 12 -4 + 8x + (-1 * -1 + 9n * -1) = 12 -4 + 8x + (1 + -9n) = 12 Reorder the terms: -4 + 1 + -9n + 8x = 12 Combine like terms: -4 + 1 = -3 -3 + -9n + 8x = 12 Solving -3 + -9n + 8x = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -9n + 3 + 8x = 12 + 3 Reorder the terms: -3 + 3 + -9n + 8x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -9n + 8x = 12 + 3 -9n + 8x = 12 + 3 Combine like terms: 12 + 3 = 15 -9n + 8x = 15 Add '-8x' to each side of the equation. -9n + 8x + -8x = 15 + -8x Combine like terms: 8x + -8x = 0 -9n + 0 = 15 + -8x -9n = 15 + -8x Divide each side by '-9'. n = -1.666666667 + 0.8888888889x Simplifying n = -1.666666667 + 0.8888888889x
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