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Simplifying -38 + -6n = 6(-2n + -4) + 4n Reorder the terms: -38 + -6n = 6(-4 + -2n) + 4n -38 + -6n = (-4 * 6 + -2n * 6) + 4n -38 + -6n = (-24 + -12n) + 4n Combine like terms: -12n + 4n = -8n -38 + -6n = -24 + -8n Solving -38 + -6n = -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. -38 + -6n + 8n = -24 + -8n + 8n Combine like terms: -6n + 8n = 2n -38 + 2n = -24 + -8n + 8n Combine like terms: -8n + 8n = 0 -38 + 2n = -24 + 0 -38 + 2n = -24 Add '38' to each side of the equation. -38 + 38 + 2n = -24 + 38 Combine like terms: -38 + 38 = 0 0 + 2n = -24 + 38 2n = -24 + 38 Combine like terms: -24 + 38 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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