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Simplifying -3(5 + -15n) = 15(4n + -2) (5 * -3 + -15n * -3) = 15(4n + -2) (-15 + 45n) = 15(4n + -2) Reorder the terms: -15 + 45n = 15(-2 + 4n) -15 + 45n = (-2 * 15 + 4n * 15) -15 + 45n = (-30 + 60n) Solving -15 + 45n = -30 + 60n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60n' to each side of the equation. -15 + 45n + -60n = -30 + 60n + -60n Combine like terms: 45n + -60n = -15n -15 + -15n = -30 + 60n + -60n Combine like terms: 60n + -60n = 0 -15 + -15n = -30 + 0 -15 + -15n = -30 Add '15' to each side of the equation. -15 + 15 + -15n = -30 + 15 Combine like terms: -15 + 15 = 0 0 + -15n = -30 + 15 -15n = -30 + 15 Combine like terms: -30 + 15 = -15 -15n = -15 Divide each side by '-15'. n = 1 Simplifying n = 1
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