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Simplifying 200 = 8(1 + -4n) 200 = (1 * 8 + -4n * 8) 200 = (8 + -32n) Solving 200 = 8 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. 200 + 32n = 8 + -32n + 32n Combine like terms: -32n + 32n = 0 200 + 32n = 8 + 0 200 + 32n = 8 Add '-200' to each side of the equation. 200 + -200 + 32n = 8 + -200 Combine like terms: 200 + -200 = 0 0 + 32n = 8 + -200 32n = 8 + -200 Combine like terms: 8 + -200 = -192 32n = -192 Divide each side by '32'. n = -6 Simplifying n = -6
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