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Simplifying -7(n + 6) + -1(5n + -8) = -13n Reorder the terms: -7(6 + n) + -1(5n + -8) = -13n (6 * -7 + n * -7) + -1(5n + -8) = -13n (-42 + -7n) + -1(5n + -8) = -13n Reorder the terms: -42 + -7n + -1(-8 + 5n) = -13n -42 + -7n + (-8 * -1 + 5n * -1) = -13n -42 + -7n + (8 + -5n) = -13n Reorder the terms: -42 + 8 + -7n + -5n = -13n Combine like terms: -42 + 8 = -34 -34 + -7n + -5n = -13n Combine like terms: -7n + -5n = -12n -34 + -12n = -13n Solving -34 + -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. -34 + -12n + 13n = -13n + 13n Combine like terms: -12n + 13n = 1n -34 + 1n = -13n + 13n Combine like terms: -13n + 13n = 0 -34 + 1n = 0 Add '34' to each side of the equation. -34 + 34 + 1n = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 1n = 0 + 34 1n = 0 + 34 Combine like terms: 0 + 34 = 34 1n = 34 Divide each side by '1'. n = 34 Simplifying n = 34
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