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Simplifying -8(3 + 5n) + 8(6n + -3) = -80 (3 * -8 + 5n * -8) + 8(6n + -3) = -80 (-24 + -40n) + 8(6n + -3) = -80 Reorder the terms: -24 + -40n + 8(-3 + 6n) = -80 -24 + -40n + (-3 * 8 + 6n * 8) = -80 -24 + -40n + (-24 + 48n) = -80 Reorder the terms: -24 + -24 + -40n + 48n = -80 Combine like terms: -24 + -24 = -48 -48 + -40n + 48n = -80 Combine like terms: -40n + 48n = 8n -48 + 8n = -80 Solving -48 + 8n = -80 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 + 8n = -80 + 48 Combine like terms: -48 + 48 = 0 0 + 8n = -80 + 48 8n = -80 + 48 Combine like terms: -80 + 48 = -32 8n = -32 Divide each side by '8'. n = -4 Simplifying n = -4
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