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Simplifying (5 + -1n) + -4(2n + -7) = -11 + -1(10 + 3n) Remove parenthesis around (5 + -1n) 5 + -1n + -4(2n + -7) = -11 + -1(10 + 3n) Reorder the terms: 5 + -1n + -4(-7 + 2n) = -11 + -1(10 + 3n) 5 + -1n + (-7 * -4 + 2n * -4) = -11 + -1(10 + 3n) 5 + -1n + (28 + -8n) = -11 + -1(10 + 3n) Reorder the terms: 5 + 28 + -1n + -8n = -11 + -1(10 + 3n) Combine like terms: 5 + 28 = 33 33 + -1n + -8n = -11 + -1(10 + 3n) Combine like terms: -1n + -8n = -9n 33 + -9n = -11 + -1(10 + 3n) 33 + -9n = -11 + (10 * -1 + 3n * -1) 33 + -9n = -11 + (-10 + -3n) Combine like terms: -11 + -10 = -21 33 + -9n = -21 + -3n Solving 33 + -9n = -21 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 33 + -9n + 3n = -21 + -3n + 3n Combine like terms: -9n + 3n = -6n 33 + -6n = -21 + -3n + 3n Combine like terms: -3n + 3n = 0 33 + -6n = -21 + 0 33 + -6n = -21 Add '-33' to each side of the equation. 33 + -33 + -6n = -21 + -33 Combine like terms: 33 + -33 = 0 0 + -6n = -21 + -33 -6n = -21 + -33 Combine like terms: -21 + -33 = -54 -6n = -54 Divide each side by '-6'. n = 9 Simplifying n = 9
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