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Simplifying -8n + -30 = -2(n + 3) Reorder the terms: -30 + -8n = -2(n + 3) Reorder the terms: -30 + -8n = -2(3 + n) -30 + -8n = (3 * -2 + n * -2) -30 + -8n = (-6 + -2n) Solving -30 + -8n = -6 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -30 + -8n + 2n = -6 + -2n + 2n Combine like terms: -8n + 2n = -6n -30 + -6n = -6 + -2n + 2n Combine like terms: -2n + 2n = 0 -30 + -6n = -6 + 0 -30 + -6n = -6 Add '30' to each side of the equation. -30 + 30 + -6n = -6 + 30 Combine like terms: -30 + 30 = 0 0 + -6n = -6 + 30 -6n = -6 + 30 Combine like terms: -6 + 30 = 24 -6n = 24 Divide each side by '-6'. n = -4 Simplifying n = -4
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