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Simplifying -6(n + 9) + -1(6n + -1) = -13n Reorder the terms: -6(9 + n) + -1(6n + -1) = -13n (9 * -6 + n * -6) + -1(6n + -1) = -13n (-54 + -6n) + -1(6n + -1) = -13n Reorder the terms: -54 + -6n + -1(-1 + 6n) = -13n -54 + -6n + (-1 * -1 + 6n * -1) = -13n -54 + -6n + (1 + -6n) = -13n Reorder the terms: -54 + 1 + -6n + -6n = -13n Combine like terms: -54 + 1 = -53 -53 + -6n + -6n = -13n Combine like terms: -6n + -6n = -12n -53 + -12n = -13n Solving -53 + -12n = -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. -53 + -12n + 13n = -13n + 13n Combine like terms: -12n + 13n = 1n -53 + 1n = -13n + 13n Combine like terms: -13n + 13n = 0 -53 + 1n = 0 Add '53' to each side of the equation. -53 + 53 + 1n = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 1n = 0 + 53 1n = 0 + 53 Combine like terms: 0 + 53 = 53 1n = 53 Divide each side by '1'. n = 53 Simplifying n = 53
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