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Simplifying 4(n + 2) = 8(n + -3) Reorder the terms: 4(2 + n) = 8(n + -3) (2 * 4 + n * 4) = 8(n + -3) (8 + 4n) = 8(n + -3) Reorder the terms: 8 + 4n = 8(-3 + n) 8 + 4n = (-3 * 8 + n * 8) 8 + 4n = (-24 + 8n) Solving 8 + 4n = -24 + 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. 8 + 4n + -8n = -24 + 8n + -8n Combine like terms: 4n + -8n = -4n 8 + -4n = -24 + 8n + -8n Combine like terms: 8n + -8n = 0 8 + -4n = -24 + 0 8 + -4n = -24 Add '-8' to each side of the equation. 8 + -8 + -4n = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = -24 + -8 -4n = -24 + -8 Combine like terms: -24 + -8 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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