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Simplifying 3(-8n + -6) + -4n = 30 + -4n Reorder the terms: 3(-6 + -8n) + -4n = 30 + -4n (-6 * 3 + -8n * 3) + -4n = 30 + -4n (-18 + -24n) + -4n = 30 + -4n Combine like terms: -24n + -4n = -28n -18 + -28n = 30 + -4n Solving -18 + -28n = 30 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -18 + -28n + 4n = 30 + -4n + 4n Combine like terms: -28n + 4n = -24n -18 + -24n = 30 + -4n + 4n Combine like terms: -4n + 4n = 0 -18 + -24n = 30 + 0 -18 + -24n = 30 Add '18' to each side of the equation. -18 + 18 + -24n = 30 + 18 Combine like terms: -18 + 18 = 0 0 + -24n = 30 + 18 -24n = 30 + 18 Combine like terms: 30 + 18 = 48 -24n = 48 Divide each side by '-24'. n = -2 Simplifying n = -2
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