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Simplifying -8(-7 + -5n) = -32 + -4n (-7 * -8 + -5n * -8) = -32 + -4n (56 + 40n) = -32 + -4n Solving 56 + 40n = -32 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 56 + 40n + 4n = -32 + -4n + 4n Combine like terms: 40n + 4n = 44n 56 + 44n = -32 + -4n + 4n Combine like terms: -4n + 4n = 0 56 + 44n = -32 + 0 56 + 44n = -32 Add '-56' to each side of the equation. 56 + -56 + 44n = -32 + -56 Combine like terms: 56 + -56 = 0 0 + 44n = -32 + -56 44n = -32 + -56 Combine like terms: -32 + -56 = -88 44n = -88 Divide each side by '44'. n = -2 Simplifying n = -2
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