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Simplifying -3n + 3(5n + -4) = 8n + -2(-8n + 6) Reorder the terms: -3n + 3(-4 + 5n) = 8n + -2(-8n + 6) -3n + (-4 * 3 + 5n * 3) = 8n + -2(-8n + 6) -3n + (-12 + 15n) = 8n + -2(-8n + 6) Reorder the terms: -12 + -3n + 15n = 8n + -2(-8n + 6) Combine like terms: -3n + 15n = 12n -12 + 12n = 8n + -2(-8n + 6) Reorder the terms: -12 + 12n = 8n + -2(6 + -8n) -12 + 12n = 8n + (6 * -2 + -8n * -2) -12 + 12n = 8n + (-12 + 16n) Reorder the terms: -12 + 12n = -12 + 8n + 16n Combine like terms: 8n + 16n = 24n -12 + 12n = -12 + 24n Add '12' to each side of the equation. -12 + 12 + 12n = -12 + 12 + 24n Combine like terms: -12 + 12 = 0 0 + 12n = -12 + 12 + 24n 12n = -12 + 12 + 24n Combine like terms: -12 + 12 = 0 12n = 0 + 24n 12n = 24n Solving 12n = 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. 12n + -24n = 24n + -24n Combine like terms: 12n + -24n = -12n -12n = 24n + -24n Combine like terms: 24n + -24n = 0 -12n = 0 Divide each side by '-12'. n = 0 Simplifying n = 0
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