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Simplifying 8(4n + -4) = -5n + -32 Reorder the terms: 8(-4 + 4n) = -5n + -32 (-4 * 8 + 4n * 8) = -5n + -32 (-32 + 32n) = -5n + -32 Reorder the terms: -32 + 32n = -32 + -5n Add '32' to each side of the equation. -32 + 32 + 32n = -32 + 32 + -5n Combine like terms: -32 + 32 = 0 0 + 32n = -32 + 32 + -5n 32n = -32 + 32 + -5n Combine like terms: -32 + 32 = 0 32n = 0 + -5n 32n = -5n Solving 32n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 32n + 5n = -5n + 5n Combine like terms: 32n + 5n = 37n 37n = -5n + 5n Combine like terms: -5n + 5n = 0 37n = 0 Divide each side by '37'. n = 0 Simplifying n = 0
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