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Simplifying -8(n + -6) = 4n + 12 Reorder the terms: -8(-6 + n) = 4n + 12 (-6 * -8 + n * -8) = 4n + 12 (48 + -8n) = 4n + 12 Reorder the terms: 48 + -8n = 12 + 4n Solving 48 + -8n = 12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 48 + -8n + -4n = 12 + 4n + -4n Combine like terms: -8n + -4n = -12n 48 + -12n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 48 + -12n = 12 + 0 48 + -12n = 12 Add '-48' to each side of the equation. 48 + -48 + -12n = 12 + -48 Combine like terms: 48 + -48 = 0 0 + -12n = 12 + -48 -12n = 12 + -48 Combine like terms: 12 + -48 = -36 -12n = -36 Divide each side by '-12'. n = 3 Simplifying n = 3
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