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Simplifying 4n + -8(n + 6) = -4 + 16 Reorder the terms: 4n + -8(6 + n) = -4 + 16 4n + (6 * -8 + n * -8) = -4 + 16 4n + (-48 + -8n) = -4 + 16 Reorder the terms: -48 + 4n + -8n = -4 + 16 Combine like terms: 4n + -8n = -4n -48 + -4n = -4 + 16 Combine like terms: -4 + 16 = 12 -48 + -4n = 12 Solving -48 + -4n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -4n = 12 + 48 Combine like terms: -48 + 48 = 0 0 + -4n = 12 + 48 -4n = 12 + 48 Combine like terms: 12 + 48 = 60 -4n = 60 Divide each side by '-4'. n = -15 Simplifying n = -15
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