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Simplifying 0 + -18n + -24 = -12n + 4(6 + -3n) Reorder the terms: 0 + -24 + -18n = -12n + 4(6 + -3n) Combine like terms: 0 + -24 = -24 -24 + -18n = -12n + 4(6 + -3n) -24 + -18n = -12n + (6 * 4 + -3n * 4) -24 + -18n = -12n + (24 + -12n) Reorder the terms: -24 + -18n = 24 + -12n + -12n Combine like terms: -12n + -12n = -24n -24 + -18n = 24 + -24n Solving -24 + -18n = 24 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -24 + -18n + 24n = 24 + -24n + 24n Combine like terms: -18n + 24n = 6n -24 + 6n = 24 + -24n + 24n Combine like terms: -24n + 24n = 0 -24 + 6n = 24 + 0 -24 + 6n = 24 Add '24' to each side of the equation. -24 + 24 + 6n = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 6n = 24 + 24 6n = 24 + 24 Combine like terms: 24 + 24 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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