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Simplifying 4(7n + -6) + -8(7 + 4n) = -68 Reorder the terms: 4(-6 + 7n) + -8(7 + 4n) = -68 (-6 * 4 + 7n * 4) + -8(7 + 4n) = -68 (-24 + 28n) + -8(7 + 4n) = -68 -24 + 28n + (7 * -8 + 4n * -8) = -68 -24 + 28n + (-56 + -32n) = -68 Reorder the terms: -24 + -56 + 28n + -32n = -68 Combine like terms: -24 + -56 = -80 -80 + 28n + -32n = -68 Combine like terms: 28n + -32n = -4n -80 + -4n = -68 Solving -80 + -4n = -68 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + -4n = -68 + 80 Combine like terms: -80 + 80 = 0 0 + -4n = -68 + 80 -4n = -68 + 80 Combine like terms: -68 + 80 = 12 -4n = 12 Divide each side by '-4'. n = -3 Simplifying n = -3
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