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Simplifying 120 = 8(4n + 7) Reorder the terms: 120 = 8(7 + 4n) 120 = (7 * 8 + 4n * 8) 120 = (56 + 32n) Solving 120 = 56 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 120 + -32n = 56 + 32n + -32n Combine like terms: 32n + -32n = 0 120 + -32n = 56 + 0 120 + -32n = 56 Add '-120' to each side of the equation. 120 + -120 + -32n = 56 + -120 Combine like terms: 120 + -120 = 0 0 + -32n = 56 + -120 -32n = 56 + -120 Combine like terms: 56 + -120 = -64 -32n = -64 Divide each side by '-32'. n = 2 Simplifying n = 2
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