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Simplifying -7(n + 5) + -1(-6n + -9) = -2n Reorder the terms: -7(5 + n) + -1(-6n + -9) = -2n (5 * -7 + n * -7) + -1(-6n + -9) = -2n (-35 + -7n) + -1(-6n + -9) = -2n Reorder the terms: -35 + -7n + -1(-9 + -6n) = -2n -35 + -7n + (-9 * -1 + -6n * -1) = -2n -35 + -7n + (9 + 6n) = -2n Reorder the terms: -35 + 9 + -7n + 6n = -2n Combine like terms: -35 + 9 = -26 -26 + -7n + 6n = -2n Combine like terms: -7n + 6n = -1n -26 + -1n = -2n Solving -26 + -1n = -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -26 + -1n + 2n = -2n + 2n Combine like terms: -1n + 2n = 1n -26 + 1n = -2n + 2n Combine like terms: -2n + 2n = 0 -26 + 1n = 0 Add '26' to each side of the equation. -26 + 26 + 1n = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 1n = 0 + 26 1n = 0 + 26 Combine like terms: 0 + 26 = 26 1n = 26 Divide each side by '1'. n = 26 Simplifying n = 26
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