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Simplifying -7n + -5 + 2n + -5(5n + 1) = 0 Reorder the terms: -7n + -5 + 2n + -5(1 + 5n) = 0 -7n + -5 + 2n + (1 * -5 + 5n * -5) = 0 -7n + -5 + 2n + (-5 + -25n) = 0 Reorder the terms: -5 + -5 + -7n + 2n + -25n = 0 Combine like terms: -5 + -5 = -10 -10 + -7n + 2n + -25n = 0 Combine like terms: -7n + 2n = -5n -10 + -5n + -25n = 0 Combine like terms: -5n + -25n = -30n -10 + -30n = 0 Solving -10 + -30n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -30n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -30n = 0 + 10 -30n = 0 + 10 Combine like terms: 0 + 10 = 10 -30n = 10 Divide each side by '-30'. n = -0.3333333333 Simplifying n = -0.3333333333
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