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Simplifying -3n + 2(4n + -6) = 4(2n + -6) Reorder the terms: -3n + 2(-6 + 4n) = 4(2n + -6) -3n + (-6 * 2 + 4n * 2) = 4(2n + -6) -3n + (-12 + 8n) = 4(2n + -6) Reorder the terms: -12 + -3n + 8n = 4(2n + -6) Combine like terms: -3n + 8n = 5n -12 + 5n = 4(2n + -6) Reorder the terms: -12 + 5n = 4(-6 + 2n) -12 + 5n = (-6 * 4 + 2n * 4) -12 + 5n = (-24 + 8n) Solving -12 + 5n = -24 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -12 + 5n + -8n = -24 + 8n + -8n Combine like terms: 5n + -8n = -3n -12 + -3n = -24 + 8n + -8n Combine like terms: 8n + -8n = 0 -12 + -3n = -24 + 0 -12 + -3n = -24 Add '12' to each side of the equation. -12 + 12 + -3n = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -3n = -24 + 12 -3n = -24 + 12 Combine like terms: -24 + 12 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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