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Simplifying -3(5n + -15n) = 15(3n + -2) Combine like terms: 5n + -15n = -10n -3(-10n) = 15(3n + -2) Remove parenthesis around (-10n) -3 * -10n = 15(3n + -2) Multiply -3 * -10 30n = 15(3n + -2) Reorder the terms: 30n = 15(-2 + 3n) 30n = (-2 * 15 + 3n * 15) 30n = (-30 + 45n) Solving 30n = -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. 30n + -45n = -30 + 45n + -45n Combine like terms: 30n + -45n = -15n -15n = -30 + 45n + -45n Combine like terms: 45n + -45n = 0 -15n = -30 + 0 -15n = -30 Divide each side by '-15'. n = 2 Simplifying n = 2
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