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Simplifying 7 + -8(1 + -5n) = -1 + -7n 7 + (1 * -8 + -5n * -8) = -1 + -7n 7 + (-8 + 40n) = -1 + -7n Combine like terms: 7 + -8 = -1 -1 + 40n = -1 + -7n Add '1' to each side of the equation. -1 + 1 + 40n = -1 + 1 + -7n Combine like terms: -1 + 1 = 0 0 + 40n = -1 + 1 + -7n 40n = -1 + 1 + -7n Combine like terms: -1 + 1 = 0 40n = 0 + -7n 40n = -7n Solving 40n = -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 40n + 7n = -7n + 7n Combine like terms: 40n + 7n = 47n 47n = -7n + 7n Combine like terms: -7n + 7n = 0 47n = 0 Divide each side by '47'. n = 0 Simplifying n = 0
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