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Simplifying 6n + 3(5n + -4) = 12(2n + -5) Reorder the terms: 6n + 3(-4 + 5n) = 12(2n + -5) 6n + (-4 * 3 + 5n * 3) = 12(2n + -5) 6n + (-12 + 15n) = 12(2n + -5) Reorder the terms: -12 + 6n + 15n = 12(2n + -5) Combine like terms: 6n + 15n = 21n -12 + 21n = 12(2n + -5) Reorder the terms: -12 + 21n = 12(-5 + 2n) -12 + 21n = (-5 * 12 + 2n * 12) -12 + 21n = (-60 + 24n) Solving -12 + 21n = -60 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -12 + 21n + -24n = -60 + 24n + -24n Combine like terms: 21n + -24n = -3n -12 + -3n = -60 + 24n + -24n Combine like terms: 24n + -24n = 0 -12 + -3n = -60 + 0 -12 + -3n = -60 Add '12' to each side of the equation. -12 + 12 + -3n = -60 + 12 Combine like terms: -12 + 12 = 0 0 + -3n = -60 + 12 -3n = -60 + 12 Combine like terms: -60 + 12 = -48 -3n = -48 Divide each side by '-3'. n = 16 Simplifying n = 16
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