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Simplifying -5(n + 1) + 7n = -3(3n + -2) Reorder the terms: -5(1 + n) + 7n = -3(3n + -2) (1 * -5 + n * -5) + 7n = -3(3n + -2) (-5 + -5n) + 7n = -3(3n + -2) Combine like terms: -5n + 7n = 2n -5 + 2n = -3(3n + -2) Reorder the terms: -5 + 2n = -3(-2 + 3n) -5 + 2n = (-2 * -3 + 3n * -3) -5 + 2n = (6 + -9n) Solving -5 + 2n = 6 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -5 + 2n + 9n = 6 + -9n + 9n Combine like terms: 2n + 9n = 11n -5 + 11n = 6 + -9n + 9n Combine like terms: -9n + 9n = 0 -5 + 11n = 6 + 0 -5 + 11n = 6 Add '5' to each side of the equation. -5 + 5 + 11n = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 11n = 6 + 5 11n = 6 + 5 Combine like terms: 6 + 5 = 11 11n = 11 Divide each side by '11'. n = 1 Simplifying n = 1
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