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Simplifying 4(n + -8) + 5(-6 + -2n) = -68 Reorder the terms: 4(-8 + n) + 5(-6 + -2n) = -68 (-8 * 4 + n * 4) + 5(-6 + -2n) = -68 (-32 + 4n) + 5(-6 + -2n) = -68 -32 + 4n + (-6 * 5 + -2n * 5) = -68 -32 + 4n + (-30 + -10n) = -68 Reorder the terms: -32 + -30 + 4n + -10n = -68 Combine like terms: -32 + -30 = -62 -62 + 4n + -10n = -68 Combine like terms: 4n + -10n = -6n -62 + -6n = -68 Solving -62 + -6n = -68 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + -6n = -68 + 62 Combine like terms: -62 + 62 = 0 0 + -6n = -68 + 62 -6n = -68 + 62 Combine like terms: -68 + 62 = -6 -6n = -6 Divide each side by '-6'. n = 1 Simplifying n = 1
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