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Simplifying -8(n + 7) = 4(1 + n) Reorder the terms: -8(7 + n) = 4(1 + n) (7 * -8 + n * -8) = 4(1 + n) (-56 + -8n) = 4(1 + n) -56 + -8n = (1 * 4 + n * 4) -56 + -8n = (4 + 4n) Solving -56 + -8n = 4 + 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. -56 + -8n + -4n = 4 + 4n + -4n Combine like terms: -8n + -4n = -12n -56 + -12n = 4 + 4n + -4n Combine like terms: 4n + -4n = 0 -56 + -12n = 4 + 0 -56 + -12n = 4 Add '56' to each side of the equation. -56 + 56 + -12n = 4 + 56 Combine like terms: -56 + 56 = 0 0 + -12n = 4 + 56 -12n = 4 + 56 Combine like terms: 4 + 56 = 60 -12n = 60 Divide each side by '-12'. n = -5 Simplifying n = -5
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