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Simplifying 4(-3n + -5) + -1n = -35 + -8n Reorder the terms: 4(-5 + -3n) + -1n = -35 + -8n (-5 * 4 + -3n * 4) + -1n = -35 + -8n (-20 + -12n) + -1n = -35 + -8n Combine like terms: -12n + -1n = -13n -20 + -13n = -35 + -8n Solving -20 + -13n = -35 + -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. -20 + -13n + 8n = -35 + -8n + 8n Combine like terms: -13n + 8n = -5n -20 + -5n = -35 + -8n + 8n Combine like terms: -8n + 8n = 0 -20 + -5n = -35 + 0 -20 + -5n = -35 Add '20' to each side of the equation. -20 + 20 + -5n = -35 + 20 Combine like terms: -20 + 20 = 0 0 + -5n = -35 + 20 -5n = -35 + 20 Combine like terms: -35 + 20 = -15 -5n = -15 Divide each side by '-5'. n = 3 Simplifying n = 3
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