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Simplifying -6 + -4(n + 3) = 3(8n + -6) Reorder the terms: -6 + -4(3 + n) = 3(8n + -6) -6 + (3 * -4 + n * -4) = 3(8n + -6) -6 + (-12 + -4n) = 3(8n + -6) Combine like terms: -6 + -12 = -18 -18 + -4n = 3(8n + -6) Reorder the terms: -18 + -4n = 3(-6 + 8n) -18 + -4n = (-6 * 3 + 8n * 3) -18 + -4n = (-18 + 24n) Add '18' to each side of the equation. -18 + 18 + -4n = -18 + 18 + 24n Combine like terms: -18 + 18 = 0 0 + -4n = -18 + 18 + 24n -4n = -18 + 18 + 24n Combine like terms: -18 + 18 = 0 -4n = 0 + 24n -4n = 24n Solving -4n = 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. -4n + -24n = 24n + -24n Combine like terms: -4n + -24n = -28n -28n = 24n + -24n Combine like terms: 24n + -24n = 0 -28n = 0 Divide each side by '-28'. n = 0 Simplifying n = 0
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