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Simplifying 4(n + -12) = 12(4 + -1n) Reorder the terms: 4(-12 + n) = 12(4 + -1n) (-12 * 4 + n * 4) = 12(4 + -1n) (-48 + 4n) = 12(4 + -1n) -48 + 4n = (4 * 12 + -1n * 12) -48 + 4n = (48 + -12n) Solving -48 + 4n = 48 + -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. -48 + 4n + 12n = 48 + -12n + 12n Combine like terms: 4n + 12n = 16n -48 + 16n = 48 + -12n + 12n Combine like terms: -12n + 12n = 0 -48 + 16n = 48 + 0 -48 + 16n = 48 Add '48' to each side of the equation. -48 + 48 + 16n = 48 + 48 Combine like terms: -48 + 48 = 0 0 + 16n = 48 + 48 16n = 48 + 48 Combine like terms: 48 + 48 = 96 16n = 96 Divide each side by '16'. n = 6 Simplifying n = 6
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