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Simplifying -12n + -4(n + -3) = -12(n + 5) + 8 Reorder the terms: -12n + -4(-3 + n) = -12(n + 5) + 8 -12n + (-3 * -4 + n * -4) = -12(n + 5) + 8 -12n + (12 + -4n) = -12(n + 5) + 8 Reorder the terms: 12 + -12n + -4n = -12(n + 5) + 8 Combine like terms: -12n + -4n = -16n 12 + -16n = -12(n + 5) + 8 Reorder the terms: 12 + -16n = -12(5 + n) + 8 12 + -16n = (5 * -12 + n * -12) + 8 12 + -16n = (-60 + -12n) + 8 Reorder the terms: 12 + -16n = -60 + 8 + -12n Combine like terms: -60 + 8 = -52 12 + -16n = -52 + -12n Solving 12 + -16n = -52 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 12 + -16n + 12n = -52 + -12n + 12n Combine like terms: -16n + 12n = -4n 12 + -4n = -52 + -12n + 12n Combine like terms: -12n + 12n = 0 12 + -4n = -52 + 0 12 + -4n = -52 Add '-12' to each side of the equation. 12 + -12 + -4n = -52 + -12 Combine like terms: 12 + -12 = 0 0 + -4n = -52 + -12 -4n = -52 + -12 Combine like terms: -52 + -12 = -64 -4n = -64 Divide each side by '-4'. n = 16 Simplifying n = 16
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