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Simplifying 5(n + 3) = 6n + 5 Reorder the terms: 5(3 + n) = 6n + 5 (3 * 5 + n * 5) = 6n + 5 (15 + 5n) = 6n + 5 Reorder the terms: 15 + 5n = 5 + 6n Solving 15 + 5n = 5 + 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. 15 + 5n + -6n = 5 + 6n + -6n Combine like terms: 5n + -6n = -1n 15 + -1n = 5 + 6n + -6n Combine like terms: 6n + -6n = 0 15 + -1n = 5 + 0 15 + -1n = 5 Add '-15' to each side of the equation. 15 + -15 + -1n = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -1n = 5 + -15 -1n = 5 + -15 Combine like terms: 5 + -15 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10
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