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Simplifying -6(3n + -4) = -9n + -30 Reorder the terms: -6(-4 + 3n) = -9n + -30 (-4 * -6 + 3n * -6) = -9n + -30 (24 + -18n) = -9n + -30 Reorder the terms: 24 + -18n = -30 + -9n Solving 24 + -18n = -30 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 24 + -18n + 9n = -30 + -9n + 9n Combine like terms: -18n + 9n = -9n 24 + -9n = -30 + -9n + 9n Combine like terms: -9n + 9n = 0 24 + -9n = -30 + 0 24 + -9n = -30 Add '-24' to each side of the equation. 24 + -24 + -9n = -30 + -24 Combine like terms: 24 + -24 = 0 0 + -9n = -30 + -24 -9n = -30 + -24 Combine like terms: -30 + -24 = -54 -9n = -54 Divide each side by '-9'. n = 6 Simplifying n = 6
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