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Simplifying -2(-3n + 3) + -2n = -38 + -4n Reorder the terms: -2(3 + -3n) + -2n = -38 + -4n (3 * -2 + -3n * -2) + -2n = -38 + -4n (-6 + 6n) + -2n = -38 + -4n Combine like terms: 6n + -2n = 4n -6 + 4n = -38 + -4n Solving -6 + 4n = -38 + -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. -6 + 4n + 4n = -38 + -4n + 4n Combine like terms: 4n + 4n = 8n -6 + 8n = -38 + -4n + 4n Combine like terms: -4n + 4n = 0 -6 + 8n = -38 + 0 -6 + 8n = -38 Add '6' to each side of the equation. -6 + 6 + 8n = -38 + 6 Combine like terms: -6 + 6 = 0 0 + 8n = -38 + 6 8n = -38 + 6 Combine like terms: -38 + 6 = -32 8n = -32 Divide each side by '8'. n = -4 Simplifying n = -4
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