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Simplifying -7(n + -9) + -1(5n + -4) = -13n Reorder the terms: -7(-9 + n) + -1(5n + -4) = -13n (-9 * -7 + n * -7) + -1(5n + -4) = -13n (63 + -7n) + -1(5n + -4) = -13n Reorder the terms: 63 + -7n + -1(-4 + 5n) = -13n 63 + -7n + (-4 * -1 + 5n * -1) = -13n 63 + -7n + (4 + -5n) = -13n Reorder the terms: 63 + 4 + -7n + -5n = -13n Combine like terms: 63 + 4 = 67 67 + -7n + -5n = -13n Combine like terms: -7n + -5n = -12n 67 + -12n = -13n Solving 67 + -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. 67 + -12n + 13n = -13n + 13n Combine like terms: -12n + 13n = 1n 67 + 1n = -13n + 13n Combine like terms: -13n + 13n = 0 67 + 1n = 0 Add '-67' to each side of the equation. 67 + -67 + 1n = 0 + -67 Combine like terms: 67 + -67 = 0 0 + 1n = 0 + -67 1n = 0 + -67 Combine like terms: 0 + -67 = -67 1n = -67 Divide each side by '1'. n = -67 Simplifying n = -67
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