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Simplifying -4n + 32 = 8(n + -2) Reorder the terms: 32 + -4n = 8(n + -2) Reorder the terms: 32 + -4n = 8(-2 + n) 32 + -4n = (-2 * 8 + n * 8) 32 + -4n = (-16 + 8n) Solving 32 + -4n = -16 + 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 + -4n + -8n = -16 + 8n + -8n Combine like terms: -4n + -8n = -12n 32 + -12n = -16 + 8n + -8n Combine like terms: 8n + -8n = 0 32 + -12n = -16 + 0 32 + -12n = -16 Add '-32' to each side of the equation. 32 + -32 + -12n = -16 + -32 Combine like terms: 32 + -32 = 0 0 + -12n = -16 + -32 -12n = -16 + -32 Combine like terms: -16 + -32 = -48 -12n = -48 Divide each side by '-12'. n = 4 Simplifying n = 4
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