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Simplifying -6n + -30 = -2n + 4(1 + -3n) Reorder the terms: -30 + -6n = -2n + 4(1 + -3n) -30 + -6n = -2n + (1 * 4 + -3n * 4) -30 + -6n = -2n + (4 + -12n) Reorder the terms: -30 + -6n = 4 + -2n + -12n Combine like terms: -2n + -12n = -14n -30 + -6n = 4 + -14n Solving -30 + -6n = 4 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -30 + -6n + 14n = 4 + -14n + 14n Combine like terms: -6n + 14n = 8n -30 + 8n = 4 + -14n + 14n Combine like terms: -14n + 14n = 0 -30 + 8n = 4 + 0 -30 + 8n = 4 Add '30' to each side of the equation. -30 + 30 + 8n = 4 + 30 Combine like terms: -30 + 30 = 0 0 + 8n = 4 + 30 8n = 4 + 30 Combine like terms: 4 + 30 = 34 8n = 34 Divide each side by '8'. n = 4.25 Simplifying n = 4.25
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