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Simplifying -5(-3n + 5) = -20(-2n + -10) Reorder the terms: -5(5 + -3n) = -20(-2n + -10) (5 * -5 + -3n * -5) = -20(-2n + -10) (-25 + 15n) = -20(-2n + -10) Reorder the terms: -25 + 15n = -20(-10 + -2n) -25 + 15n = (-10 * -20 + -2n * -20) -25 + 15n = (200 + 40n) Solving -25 + 15n = 200 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -25 + 15n + -40n = 200 + 40n + -40n Combine like terms: 15n + -40n = -25n -25 + -25n = 200 + 40n + -40n Combine like terms: 40n + -40n = 0 -25 + -25n = 200 + 0 -25 + -25n = 200 Add '25' to each side of the equation. -25 + 25 + -25n = 200 + 25 Combine like terms: -25 + 25 = 0 0 + -25n = 200 + 25 -25n = 200 + 25 Combine like terms: 200 + 25 = 225 -25n = 225 Divide each side by '-25'. n = -9 Simplifying n = -9
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