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Simplifying 7(4 + 5n) + -1n = 8(2 + 5n) (4 * 7 + 5n * 7) + -1n = 8(2 + 5n) (28 + 35n) + -1n = 8(2 + 5n) Combine like terms: 35n + -1n = 34n 28 + 34n = 8(2 + 5n) 28 + 34n = (2 * 8 + 5n * 8) 28 + 34n = (16 + 40n) Solving 28 + 34n = 16 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 28 + 34n + -40n = 16 + 40n + -40n Combine like terms: 34n + -40n = -6n 28 + -6n = 16 + 40n + -40n Combine like terms: 40n + -40n = 0 28 + -6n = 16 + 0 28 + -6n = 16 Add '-28' to each side of the equation. 28 + -28 + -6n = 16 + -28 Combine like terms: 28 + -28 = 0 0 + -6n = 16 + -28 -6n = 16 + -28 Combine like terms: 16 + -28 = -12 -6n = -12 Divide each side by '-6'. n = 2 Simplifying n = 2
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