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Simplifying 5(n + 3) + -1(1 + 2n) = 4n + -1 Reorder the terms: 5(3 + n) + -1(1 + 2n) = 4n + -1 (3 * 5 + n * 5) + -1(1 + 2n) = 4n + -1 (15 + 5n) + -1(1 + 2n) = 4n + -1 15 + 5n + (1 * -1 + 2n * -1) = 4n + -1 15 + 5n + (-1 + -2n) = 4n + -1 Reorder the terms: 15 + -1 + 5n + -2n = 4n + -1 Combine like terms: 15 + -1 = 14 14 + 5n + -2n = 4n + -1 Combine like terms: 5n + -2n = 3n 14 + 3n = 4n + -1 Reorder the terms: 14 + 3n = -1 + 4n Solving 14 + 3n = -1 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 14 + 3n + -4n = -1 + 4n + -4n Combine like terms: 3n + -4n = -1n 14 + -1n = -1 + 4n + -4n Combine like terms: 4n + -4n = 0 14 + -1n = -1 + 0 14 + -1n = -1 Add '-14' to each side of the equation. 14 + -14 + -1n = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -1n = -1 + -14 -1n = -1 + -14 Combine like terms: -1 + -14 = -15 -1n = -15 Divide each side by '-1'. n = 15 Simplifying n = 15
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