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Simplifying -5(n + -2) + -1 = -3(-3 + 6n) + 2n Reorder the terms: -5(-2 + n) + -1 = -3(-3 + 6n) + 2n (-2 * -5 + n * -5) + -1 = -3(-3 + 6n) + 2n (10 + -5n) + -1 = -3(-3 + 6n) + 2n Reorder the terms: 10 + -1 + -5n = -3(-3 + 6n) + 2n Combine like terms: 10 + -1 = 9 9 + -5n = -3(-3 + 6n) + 2n 9 + -5n = (-3 * -3 + 6n * -3) + 2n 9 + -5n = (9 + -18n) + 2n Combine like terms: -18n + 2n = -16n 9 + -5n = 9 + -16n Add '-9' to each side of the equation. 9 + -9 + -5n = 9 + -9 + -16n Combine like terms: 9 + -9 = 0 0 + -5n = 9 + -9 + -16n -5n = 9 + -9 + -16n Combine like terms: 9 + -9 = 0 -5n = 0 + -16n -5n = -16n Solving -5n = -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -5n + 16n = -16n + 16n Combine like terms: -5n + 16n = 11n 11n = -16n + 16n Combine like terms: -16n + 16n = 0 11n = 0 Divide each side by '11'. n = 0 Simplifying n = 0
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