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Simplifying 6 + -5(-6n + 3) = 3(-1n + -8) + 5 Reorder the terms: 6 + -5(3 + -6n) = 3(-1n + -8) + 5 6 + (3 * -5 + -6n * -5) = 3(-1n + -8) + 5 6 + (-15 + 30n) = 3(-1n + -8) + 5 Combine like terms: 6 + -15 = -9 -9 + 30n = 3(-1n + -8) + 5 Reorder the terms: -9 + 30n = 3(-8 + -1n) + 5 -9 + 30n = (-8 * 3 + -1n * 3) + 5 -9 + 30n = (-24 + -3n) + 5 Reorder the terms: -9 + 30n = -24 + 5 + -3n Combine like terms: -24 + 5 = -19 -9 + 30n = -19 + -3n Solving -9 + 30n = -19 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -9 + 30n + 3n = -19 + -3n + 3n Combine like terms: 30n + 3n = 33n -9 + 33n = -19 + -3n + 3n Combine like terms: -3n + 3n = 0 -9 + 33n = -19 + 0 -9 + 33n = -19 Add '9' to each side of the equation. -9 + 9 + 33n = -19 + 9 Combine like terms: -9 + 9 = 0 0 + 33n = -19 + 9 33n = -19 + 9 Combine like terms: -19 + 9 = -10 33n = -10 Divide each side by '33'. n = -0.303030303 Simplifying n = -0.303030303
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