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Simplifying 3n + 4(-4n + 1) = 2n + 4 Reorder the terms: 3n + 4(1 + -4n) = 2n + 4 3n + (1 * 4 + -4n * 4) = 2n + 4 3n + (4 + -16n) = 2n + 4 Reorder the terms: 4 + 3n + -16n = 2n + 4 Combine like terms: 3n + -16n = -13n 4 + -13n = 2n + 4 Reorder the terms: 4 + -13n = 4 + 2n Add '-4' to each side of the equation. 4 + -4 + -13n = 4 + -4 + 2n Combine like terms: 4 + -4 = 0 0 + -13n = 4 + -4 + 2n -13n = 4 + -4 + 2n Combine like terms: 4 + -4 = 0 -13n = 0 + 2n -13n = 2n Solving -13n = 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. -13n + -2n = 2n + -2n Combine like terms: -13n + -2n = -15n -15n = 2n + -2n Combine like terms: 2n + -2n = 0 -15n = 0 Divide each side by '-15'. n = 0 Simplifying n = 0
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