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Simplifying 5(n + 3) = (2n + -1) * 3 Reorder the terms: 5(3 + n) = (2n + -1) * 3 (3 * 5 + n * 5) = (2n + -1) * 3 (15 + 5n) = (2n + -1) * 3 Reorder the terms: 15 + 5n = (-1 + 2n) * 3 Reorder the terms for easier multiplication: 15 + 5n = 3(-1 + 2n) 15 + 5n = (-1 * 3 + 2n * 3) 15 + 5n = (-3 + 6n) Solving 15 + 5n = -3 + 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 = -3 + 6n + -6n Combine like terms: 5n + -6n = -1n 15 + -1n = -3 + 6n + -6n Combine like terms: 6n + -6n = 0 15 + -1n = -3 + 0 15 + -1n = -3 Add '-15' to each side of the equation. 15 + -15 + -1n = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -1n = -3 + -15 -1n = -3 + -15 Combine like terms: -3 + -15 = -18 -1n = -18 Divide each side by '-1'. n = 18 Simplifying n = 18
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