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Simplifying -4(3n + 8) = 8(n + 1) Reorder the terms: -4(8 + 3n) = 8(n + 1) (8 * -4 + 3n * -4) = 8(n + 1) (-32 + -12n) = 8(n + 1) Reorder the terms: -32 + -12n = 8(1 + n) -32 + -12n = (1 * 8 + n * 8) -32 + -12n = (8 + 8n) Solving -32 + -12n = 8 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -32 + -12n + -8n = 8 + 8n + -8n Combine like terms: -12n + -8n = -20n -32 + -20n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 -32 + -20n = 8 + 0 -32 + -20n = 8 Add '32' to each side of the equation. -32 + 32 + -20n = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -20n = 8 + 32 -20n = 8 + 32 Combine like terms: 8 + 32 = 40 -20n = 40 Divide each side by '-20'. n = -2 Simplifying n = -2
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