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Simplifying 6(5n + -6) = 2(-4n + -6) + 6n Reorder the terms: 6(-6 + 5n) = 2(-4n + -6) + 6n (-6 * 6 + 5n * 6) = 2(-4n + -6) + 6n (-36 + 30n) = 2(-4n + -6) + 6n Reorder the terms: -36 + 30n = 2(-6 + -4n) + 6n -36 + 30n = (-6 * 2 + -4n * 2) + 6n -36 + 30n = (-12 + -8n) + 6n Combine like terms: -8n + 6n = -2n -36 + 30n = -12 + -2n Solving -36 + 30n = -12 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -36 + 30n + 2n = -12 + -2n + 2n Combine like terms: 30n + 2n = 32n -36 + 32n = -12 + -2n + 2n Combine like terms: -2n + 2n = 0 -36 + 32n = -12 + 0 -36 + 32n = -12 Add '36' to each side of the equation. -36 + 36 + 32n = -12 + 36 Combine like terms: -36 + 36 = 0 0 + 32n = -12 + 36 32n = -12 + 36 Combine like terms: -12 + 36 = 24 32n = 24 Divide each side by '32'. n = 0.75 Simplifying n = 0.75
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