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Simplifying 4(5n + -4) = 4n + -32 Reorder the terms: 4(-4 + 5n) = 4n + -32 (-4 * 4 + 5n * 4) = 4n + -32 (-16 + 20n) = 4n + -32 Reorder the terms: -16 + 20n = -32 + 4n Solving -16 + 20n = -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. -16 + 20n + -4n = -32 + 4n + -4n Combine like terms: 20n + -4n = 16n -16 + 16n = -32 + 4n + -4n Combine like terms: 4n + -4n = 0 -16 + 16n = -32 + 0 -16 + 16n = -32 Add '16' to each side of the equation. -16 + 16 + 16n = -32 + 16 Combine like terms: -16 + 16 = 0 0 + 16n = -32 + 16 16n = -32 + 16 Combine like terms: -32 + 16 = -16 16n = -16 Divide each side by '16'. n = -1 Simplifying n = -1
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