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Simplifying 4(n + -12) = 12(n + -4) Reorder the terms: 4(-12 + n) = 12(n + -4) (-12 * 4 + n * 4) = 12(n + -4) (-48 + 4n) = 12(n + -4) Reorder the terms: -48 + 4n = 12(-4 + n) -48 + 4n = (-4 * 12 + n * 12) -48 + 4n = (-48 + 12n) Add '48' to each side of the equation. -48 + 48 + 4n = -48 + 48 + 12n Combine like terms: -48 + 48 = 0 0 + 4n = -48 + 48 + 12n 4n = -48 + 48 + 12n Combine like terms: -48 + 48 = 0 4n = 0 + 12n 4n = 12n Solving 4n = 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. 4n + -12n = 12n + -12n Combine like terms: 4n + -12n = -8n -8n = 12n + -12n Combine like terms: 12n + -12n = 0 -8n = 0 Divide each side by '-8'. n = 0 Simplifying n = 0
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