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Simplifying -7 + 8(1 + -5n) = -199 -7 + (1 * 8 + -5n * 8) = -199 -7 + (8 + -40n) = -199 Combine like terms: -7 + 8 = 1 1 + -40n = -199 Solving 1 + -40n = -199 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -40n = -199 + -1 Combine like terms: 1 + -1 = 0 0 + -40n = -199 + -1 -40n = -199 + -1 Combine like terms: -199 + -1 = -200 -40n = -200 Divide each side by '-40'. n = 5 Simplifying n = 5
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