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Simplifying -6n + -10 = -2n + 4(1 + -3n) Reorder the terms: -10 + -6n = -2n + 4(1 + -3n) -10 + -6n = -2n + (1 * 4 + -3n * 4) -10 + -6n = -2n + (4 + -12n) Reorder the terms: -10 + -6n = 4 + -2n + -12n Combine like terms: -2n + -12n = -14n -10 + -6n = 4 + -14n Solving -10 + -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. -10 + -6n + 14n = 4 + -14n + 14n Combine like terms: -6n + 14n = 8n -10 + 8n = 4 + -14n + 14n Combine like terms: -14n + 14n = 0 -10 + 8n = 4 + 0 -10 + 8n = 4 Add '10' to each side of the equation. -10 + 10 + 8n = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 8n = 4 + 10 8n = 4 + 10 Combine like terms: 4 + 10 = 14 8n = 14 Divide each side by '8'. n = 1.75 Simplifying n = 1.75
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