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Simplifying -3(8 + -5n) + -8(1 + 5n) = -32 (8 * -3 + -5n * -3) + -8(1 + 5n) = -32 (-24 + 15n) + -8(1 + 5n) = -32 -24 + 15n + (1 * -8 + 5n * -8) = -32 -24 + 15n + (-8 + -40n) = -32 Reorder the terms: -24 + -8 + 15n + -40n = -32 Combine like terms: -24 + -8 = -32 -32 + 15n + -40n = -32 Combine like terms: 15n + -40n = -25n -32 + -25n = -32 Add '32' to each side of the equation. -32 + 32 + -25n = -32 + 32 Combine like terms: -32 + 32 = 0 0 + -25n = -32 + 32 -25n = -32 + 32 Combine like terms: -32 + 32 = 0 -25n = 0 Solving -25n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-25'. n = 0 Simplifying n = 0
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