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Simplifying 5n + (2n + -3) = 2n + -4(n + -2) Reorder the terms: 5n + (-3 + 2n) = 2n + -4(n + -2) Remove parenthesis around (-3 + 2n) 5n + -3 + 2n = 2n + -4(n + -2) Reorder the terms: -3 + 5n + 2n = 2n + -4(n + -2) Combine like terms: 5n + 2n = 7n -3 + 7n = 2n + -4(n + -2) Reorder the terms: -3 + 7n = 2n + -4(-2 + n) -3 + 7n = 2n + (-2 * -4 + n * -4) -3 + 7n = 2n + (8 + -4n) Reorder the terms: -3 + 7n = 8 + 2n + -4n Combine like terms: 2n + -4n = -2n -3 + 7n = 8 + -2n Solving -3 + 7n = 8 + -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. -3 + 7n + 2n = 8 + -2n + 2n Combine like terms: 7n + 2n = 9n -3 + 9n = 8 + -2n + 2n Combine like terms: -2n + 2n = 0 -3 + 9n = 8 + 0 -3 + 9n = 8 Add '3' to each side of the equation. -3 + 3 + 9n = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 9n = 8 + 3 9n = 8 + 3 Combine like terms: 8 + 3 = 11 9n = 11 Divide each side by '9'. n = 1.222222222 Simplifying n = 1.222222222
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