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Simplifying 4(-3n + -4) = 2[-4n + -4(n + -6)] Reorder the terms: 4(-4 + -3n) = 2[-4n + -4(n + -6)] (-4 * 4 + -3n * 4) = 2[-4n + -4(n + -6)] (-16 + -12n) = 2[-4n + -4(n + -6)] Reorder the terms: -16 + -12n = 2[-4n + -4(-6 + n)] -16 + -12n = 2[-4n + (-6 * -4 + n * -4)] -16 + -12n = 2[-4n + (24 + -4n)] Reorder the terms: -16 + -12n = 2[24 + -4n + -4n] Combine like terms: -4n + -4n = -8n -16 + -12n = 2[24 + -8n] -16 + -12n = [24 * 2 + -8n * 2] -16 + -12n = [48 + -16n] Solving -16 + -12n = 48 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -16 + -12n + 16n = 48 + -16n + 16n Combine like terms: -12n + 16n = 4n -16 + 4n = 48 + -16n + 16n Combine like terms: -16n + 16n = 0 -16 + 4n = 48 + 0 -16 + 4n = 48 Add '16' to each side of the equation. -16 + 16 + 4n = 48 + 16 Combine like terms: -16 + 16 = 0 0 + 4n = 48 + 16 4n = 48 + 16 Combine like terms: 48 + 16 = 64 4n = 64 Divide each side by '4'. n = 16 Simplifying n = 16
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