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Simplifying -32 + 4n = 8(n + 2) + 8n Reorder the terms: -32 + 4n = 8(2 + n) + 8n -32 + 4n = (2 * 8 + n * 8) + 8n -32 + 4n = (16 + 8n) + 8n Combine like terms: 8n + 8n = 16n -32 + 4n = 16 + 16n Solving -32 + 4n = 16 + 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. -32 + 4n + -16n = 16 + 16n + -16n Combine like terms: 4n + -16n = -12n -32 + -12n = 16 + 16n + -16n Combine like terms: 16n + -16n = 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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