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Simplifying -8(1 + -4n) + -7n = 32 + 5n (1 * -8 + -4n * -8) + -7n = 32 + 5n (-8 + 32n) + -7n = 32 + 5n Combine like terms: 32n + -7n = 25n -8 + 25n = 32 + 5n Solving -8 + 25n = 32 + 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. -8 + 25n + -5n = 32 + 5n + -5n Combine like terms: 25n + -5n = 20n -8 + 20n = 32 + 5n + -5n Combine like terms: 5n + -5n = 0 -8 + 20n = 32 + 0 -8 + 20n = 32 Add '8' to each side of the equation. -8 + 8 + 20n = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 20n = 32 + 8 20n = 32 + 8 Combine like terms: 32 + 8 = 40 20n = 40 Divide each side by '20'. n = 2 Simplifying n = 2
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