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Simplifying -4(5n + -1) + -8(1 + -2n) = -32 Reorder the terms: -4(-1 + 5n) + -8(1 + -2n) = -32 (-1 * -4 + 5n * -4) + -8(1 + -2n) = -32 (4 + -20n) + -8(1 + -2n) = -32 4 + -20n + (1 * -8 + -2n * -8) = -32 4 + -20n + (-8 + 16n) = -32 Reorder the terms: 4 + -8 + -20n + 16n = -32 Combine like terms: 4 + -8 = -4 -4 + -20n + 16n = -32 Combine like terms: -20n + 16n = -4n -4 + -4n = -32 Solving -4 + -4n = -32 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -4n = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -4n = -32 + 4 -4n = -32 + 4 Combine like terms: -32 + 4 = -28 -4n = -28 Divide each side by '-4'. n = 7 Simplifying n = 7
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