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Simplifying 6n + -3(-3n + 2) = -24 + 6n Reorder the terms: 6n + -3(2 + -3n) = -24 + 6n 6n + (2 * -3 + -3n * -3) = -24 + 6n 6n + (-6 + 9n) = -24 + 6n Reorder the terms: -6 + 6n + 9n = -24 + 6n Combine like terms: 6n + 9n = 15n -6 + 15n = -24 + 6n Solving -6 + 15n = -24 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -6 + 15n + -6n = -24 + 6n + -6n Combine like terms: 15n + -6n = 9n -6 + 9n = -24 + 6n + -6n Combine like terms: 6n + -6n = 0 -6 + 9n = -24 + 0 -6 + 9n = -24 Add '6' to each side of the equation. -6 + 6 + 9n = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 9n = -24 + 6 9n = -24 + 6 Combine like terms: -24 + 6 = -18 9n = -18 Divide each side by '9'. n = -2 Simplifying n = -2
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