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Simplifying 5(n + 2) + -15 = 4 + -1(2n + -5) Reorder the terms: 5(2 + n) + -15 = 4 + -1(2n + -5) (2 * 5 + n * 5) + -15 = 4 + -1(2n + -5) (10 + 5n) + -15 = 4 + -1(2n + -5) Reorder the terms: 10 + -15 + 5n = 4 + -1(2n + -5) Combine like terms: 10 + -15 = -5 -5 + 5n = 4 + -1(2n + -5) Reorder the terms: -5 + 5n = 4 + -1(-5 + 2n) -5 + 5n = 4 + (-5 * -1 + 2n * -1) -5 + 5n = 4 + (5 + -2n) Combine like terms: 4 + 5 = 9 -5 + 5n = 9 + -2n Solving -5 + 5n = 9 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -5 + 5n + 2n = 9 + -2n + 2n Combine like terms: 5n + 2n = 7n -5 + 7n = 9 + -2n + 2n Combine like terms: -2n + 2n = 0 -5 + 7n = 9 + 0 -5 + 7n = 9 Add '5' to each side of the equation. -5 + 5 + 7n = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7n = 9 + 5 7n = 9 + 5 Combine like terms: 9 + 5 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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