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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 = -105n 300 + -105n = -45 + 15n + -15n Combine like terms: 15n + -15n = 0 300 + -105n = -45 + 0 300 + -105n = -45 Add '-300' to each side of the equation. 300 + -300 + -105n = -45 + -300 Combine like terms: 300 + -300 = 0 0 + -105n = -45 + -300 -105n = -45 + -300 Combine like terms: -45 + -300 = -345 -105n = -345 Divide each side by '-105'. n = 3.285714286 Simplifying n = 3.285714286
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