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Simplifying 30(10 + -3n) = 15(3 + -1n) (10 * 30 + -3n * 30) = 15(3 + -1n) (300 + -90n) = 15(3 + -1n) 300 + -90n = (3 * 15 + -1n * 15) 300 + -90n = (45 + -15n) Solving 300 + -90n = 45 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 300 + -90n + 15n = 45 + -15n + 15n Combine like terms: -90n + 15n = -75n 300 + -75n = 45 + -15n + 15n Combine like terms: -15n + 15n = 0 300 + -75n = 45 + 0 300 + -75n = 45 Add '-300' to each side of the equation. 300 + -300 + -75n = 45 + -300 Combine like terms: 300 + -300 = 0 0 + -75n = 45 + -300 -75n = 45 + -300 Combine like terms: 45 + -300 = -255 -75n = -255 Divide each side by '-75'. n = 3.4 Simplifying n = 3.4
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