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Simplifying 8n + 30 = -7(-3n + 5) Reorder the terms: 30 + 8n = -7(-3n + 5) Reorder the terms: 30 + 8n = -7(5 + -3n) 30 + 8n = (5 * -7 + -3n * -7) 30 + 8n = (-35 + 21n) Solving 30 + 8n = -35 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 30 + 8n + -21n = -35 + 21n + -21n Combine like terms: 8n + -21n = -13n 30 + -13n = -35 + 21n + -21n Combine like terms: 21n + -21n = 0 30 + -13n = -35 + 0 30 + -13n = -35 Add '-30' to each side of the equation. 30 + -30 + -13n = -35 + -30 Combine like terms: 30 + -30 = 0 0 + -13n = -35 + -30 -13n = -35 + -30 Combine like terms: -35 + -30 = -65 -13n = -65 Divide each side by '-13'. n = 5 Simplifying n = 5
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