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Simplifying -6(5n + -2) = -3(-4 + 5n) Reorder the terms: -6(-2 + 5n) = -3(-4 + 5n) (-2 * -6 + 5n * -6) = -3(-4 + 5n) (12 + -30n) = -3(-4 + 5n) 12 + -30n = (-4 * -3 + 5n * -3) 12 + -30n = (12 + -15n) Add '-12' to each side of the equation. 12 + -12 + -30n = 12 + -12 + -15n Combine like terms: 12 + -12 = 0 0 + -30n = 12 + -12 + -15n -30n = 12 + -12 + -15n Combine like terms: 12 + -12 = 0 -30n = 0 + -15n -30n = -15n Solving -30n = -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. -30n + 15n = -15n + 15n Combine like terms: -30n + 15n = -15n -15n = -15n + 15n Combine like terms: -15n + 15n = 0 -15n = 0 Divide each side by '-15'. n = 0 Simplifying n = 0
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