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Simplifying -14 + -2n = -8(n + 3) + -8 Reorder the terms: -14 + -2n = -8(3 + n) + -8 -14 + -2n = (3 * -8 + n * -8) + -8 -14 + -2n = (-24 + -8n) + -8 Reorder the terms: -14 + -2n = -24 + -8 + -8n Combine like terms: -24 + -8 = -32 -14 + -2n = -32 + -8n Solving -14 + -2n = -32 + -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. -14 + -2n + 8n = -32 + -8n + 8n Combine like terms: -2n + 8n = 6n -14 + 6n = -32 + -8n + 8n Combine like terms: -8n + 8n = 0 -14 + 6n = -32 + 0 -14 + 6n = -32 Add '14' to each side of the equation. -14 + 14 + 6n = -32 + 14 Combine like terms: -14 + 14 = 0 0 + 6n = -32 + 14 6n = -32 + 14 Combine like terms: -32 + 14 = -18 6n = -18 Divide each side by '6'. n = -3 Simplifying n = -3
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