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