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Simplifying 3(5 + -15n) = 15(3n + -2) (5 * 3 + -15n * 3) = 15(3n + -2) (15 + -45n) = 15(3n + -2) Reorder the terms: 15 + -45n = 15(-2 + 3n) 15 + -45n = (-2 * 15 + 3n * 15) 15 + -45n = (-30 + 45n) Solving 15 + -45n = -30 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 15 + -45n + -45n = -30 + 45n + -45n Combine like terms: -45n + -45n = -90n 15 + -90n = -30 + 45n + -45n Combine like terms: 45n + -45n = 0 15 + -90n = -30 + 0 15 + -90n = -30 Add '-15' to each side of the equation. 15 + -15 + -90n = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -90n = -30 + -15 -90n = -30 + -15 Combine like terms: -30 + -15 = -45 -90n = -45 Divide each side by '-90'. n = 0.5 Simplifying n = 0.5
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