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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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