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Simplifying 4(3n + n + -3) = 14n + 4 Reorder the terms: 4(-3 + 3n + n) = 14n + 4 Combine like terms: 3n + n = 4n 4(-3 + 4n) = 14n + 4 (-3 * 4 + 4n * 4) = 14n + 4 (-12 + 16n) = 14n + 4 Reorder the terms: -12 + 16n = 4 + 14n Solving -12 + 16n = 4 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -12 + 16n + -14n = 4 + 14n + -14n Combine like terms: 16n + -14n = 2n -12 + 2n = 4 + 14n + -14n Combine like terms: 14n + -14n = 0 -12 + 2n = 4 + 0 -12 + 2n = 4 Add '12' to each side of the equation. -12 + 12 + 2n = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 2n = 4 + 12 2n = 4 + 12 Combine like terms: 4 + 12 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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