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Simplifying -7(2n + 6) = -30 + -8n Reorder the terms: -7(6 + 2n) = -30 + -8n (6 * -7 + 2n * -7) = -30 + -8n (-42 + -14n) = -30 + -8n Solving -42 + -14n = -30 + -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. -42 + -14n + 8n = -30 + -8n + 8n Combine like terms: -14n + 8n = -6n -42 + -6n = -30 + -8n + 8n Combine like terms: -8n + 8n = 0 -42 + -6n = -30 + 0 -42 + -6n = -30 Add '42' to each side of the equation. -42 + 42 + -6n = -30 + 42 Combine like terms: -42 + 42 = 0 0 + -6n = -30 + 42 -6n = -30 + 42 Combine like terms: -30 + 42 = 12 -6n = 12 Divide each side by '-6'. n = -2 Simplifying n = -2
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