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Simplifying 9(n + -1) + -1(-6n + -8) = 14n Reorder the terms: 9(-1 + n) + -1(-6n + -8) = 14n (-1 * 9 + n * 9) + -1(-6n + -8) = 14n (-9 + 9n) + -1(-6n + -8) = 14n Reorder the terms: -9 + 9n + -1(-8 + -6n) = 14n -9 + 9n + (-8 * -1 + -6n * -1) = 14n -9 + 9n + (8 + 6n) = 14n Reorder the terms: -9 + 8 + 9n + 6n = 14n Combine like terms: -9 + 8 = -1 -1 + 9n + 6n = 14n Combine like terms: 9n + 6n = 15n -1 + 15n = 14n Solving -1 + 15n = 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -1 + 15n + -14n = 14n + -14n Combine like terms: 15n + -14n = 1n -1 + 1n = 14n + -14n Combine like terms: 14n + -14n = 0 -1 + 1n = 0 Add '1' to each side of the equation. -1 + 1 + 1n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1n = 0 + 1 1n = 0 + 1 Combine like terms: 0 + 1 = 1 1n = 1 Divide each side by '1'. n = 1 Simplifying n = 1
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