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Simplifying -5(10n + 3) = -1(4 + -9n) Reorder the terms: -5(3 + 10n) = -1(4 + -9n) (3 * -5 + 10n * -5) = -1(4 + -9n) (-15 + -50n) = -1(4 + -9n) -15 + -50n = (4 * -1 + -9n * -1) -15 + -50n = (-4 + 9n) Solving -15 + -50n = -4 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -15 + -50n + -9n = -4 + 9n + -9n Combine like terms: -50n + -9n = -59n -15 + -59n = -4 + 9n + -9n Combine like terms: 9n + -9n = 0 -15 + -59n = -4 + 0 -15 + -59n = -4 Add '15' to each side of the equation. -15 + 15 + -59n = -4 + 15 Combine like terms: -15 + 15 = 0 0 + -59n = -4 + 15 -59n = -4 + 15 Combine like terms: -4 + 15 = 11 -59n = 11 Divide each side by '-59'. n = -0.186440678 Simplifying n = -0.186440678
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