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Simplifying -4(n + 8) + -5(n + -7) = -60 Reorder the terms: -4(8 + n) + -5(n + -7) = -60 (8 * -4 + n * -4) + -5(n + -7) = -60 (-32 + -4n) + -5(n + -7) = -60 Reorder the terms: -32 + -4n + -5(-7 + n) = -60 -32 + -4n + (-7 * -5 + n * -5) = -60 -32 + -4n + (35 + -5n) = -60 Reorder the terms: -32 + 35 + -4n + -5n = -60 Combine like terms: -32 + 35 = 3 3 + -4n + -5n = -60 Combine like terms: -4n + -5n = -9n 3 + -9n = -60 Solving 3 + -9n = -60 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -9n = -60 + -3 Combine like terms: 3 + -3 = 0 0 + -9n = -60 + -3 -9n = -60 + -3 Combine like terms: -60 + -3 = -63 -9n = -63 Divide each side by '-9'. n = 7 Simplifying n = 7
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