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Simplifying -5(1 + -7n) = -5 + -4n (1 * -5 + -7n * -5) = -5 + -4n (-5 + 35n) = -5 + -4n Add '5' to each side of the equation. -5 + 5 + 35n = -5 + 5 + -4n Combine like terms: -5 + 5 = 0 0 + 35n = -5 + 5 + -4n 35n = -5 + 5 + -4n Combine like terms: -5 + 5 = 0 35n = 0 + -4n 35n = -4n Solving 35n = -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 35n + 4n = -4n + 4n Combine like terms: 35n + 4n = 39n 39n = -4n + 4n Combine like terms: -4n + 4n = 0 39n = 0 Divide each side by '39'. n = 0 Simplifying n = 0
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