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Simplifying 3(2n + -5) + -8 = 4n + -5(n + -1) Reorder the terms: 3(-5 + 2n) + -8 = 4n + -5(n + -1) (-5 * 3 + 2n * 3) + -8 = 4n + -5(n + -1) (-15 + 6n) + -8 = 4n + -5(n + -1) Reorder the terms: -15 + -8 + 6n = 4n + -5(n + -1) Combine like terms: -15 + -8 = -23 -23 + 6n = 4n + -5(n + -1) Reorder the terms: -23 + 6n = 4n + -5(-1 + n) -23 + 6n = 4n + (-1 * -5 + n * -5) -23 + 6n = 4n + (5 + -5n) Reorder the terms: -23 + 6n = 5 + 4n + -5n Combine like terms: 4n + -5n = -1n -23 + 6n = 5 + -1n Solving -23 + 6n = 5 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -23 + 6n + n = 5 + -1n + n Combine like terms: 6n + n = 7n -23 + 7n = 5 + -1n + n Combine like terms: -1n + n = 0 -23 + 7n = 5 + 0 -23 + 7n = 5 Add '23' to each side of the equation. -23 + 23 + 7n = 5 + 23 Combine like terms: -23 + 23 = 0 0 + 7n = 5 + 23 7n = 5 + 23 Combine like terms: 5 + 23 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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