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Simplifying 3(n + -1) + -2 + 4n = 4(n + -4) + -1(n + -11) Reorder the terms: 3(-1 + n) + -2 + 4n = 4(n + -4) + -1(n + -11) (-1 * 3 + n * 3) + -2 + 4n = 4(n + -4) + -1(n + -11) (-3 + 3n) + -2 + 4n = 4(n + -4) + -1(n + -11) Reorder the terms: -3 + -2 + 3n + 4n = 4(n + -4) + -1(n + -11) Combine like terms: -3 + -2 = -5 -5 + 3n + 4n = 4(n + -4) + -1(n + -11) Combine like terms: 3n + 4n = 7n -5 + 7n = 4(n + -4) + -1(n + -11) Reorder the terms: -5 + 7n = 4(-4 + n) + -1(n + -11) -5 + 7n = (-4 * 4 + n * 4) + -1(n + -11) -5 + 7n = (-16 + 4n) + -1(n + -11) Reorder the terms: -5 + 7n = -16 + 4n + -1(-11 + n) -5 + 7n = -16 + 4n + (-11 * -1 + n * -1) -5 + 7n = -16 + 4n + (11 + -1n) Reorder the terms: -5 + 7n = -16 + 11 + 4n + -1n Combine like terms: -16 + 11 = -5 -5 + 7n = -5 + 4n + -1n Combine like terms: 4n + -1n = 3n -5 + 7n = -5 + 3n Add '5' to each side of the equation. -5 + 5 + 7n = -5 + 5 + 3n Combine like terms: -5 + 5 = 0 0 + 7n = -5 + 5 + 3n 7n = -5 + 5 + 3n Combine like terms: -5 + 5 = 0 7n = 0 + 3n 7n = 3n Solving 7n = 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. 7n + -3n = 3n + -3n Combine like terms: 7n + -3n = 4n 4n = 3n + -3n Combine like terms: 3n + -3n = 0 4n = 0 Divide each side by '4'. n = 0 Simplifying n = 0
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