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Simplifying -4(n + 3) = 12n + 5 Reorder the terms: -4(3 + n) = 12n + 5 (3 * -4 + n * -4) = 12n + 5 (-12 + -4n) = 12n + 5 Reorder the terms: -12 + -4n = 5 + 12n Solving -12 + -4n = 5 + 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 + -4n + -12n = 5 + 12n + -12n Combine like terms: -4n + -12n = -16n -12 + -16n = 5 + 12n + -12n Combine like terms: 12n + -12n = 0 -12 + -16n = 5 + 0 -12 + -16n = 5 Add '12' to each side of the equation. -12 + 12 + -16n = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -16n = 5 + 12 -16n = 5 + 12 Combine like terms: 5 + 12 = 17 -16n = 17 Divide each side by '-16'. n = -1.0625 Simplifying n = -1.0625
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