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Simplifying 33 + 8n = 5(4n + -3) Reorder the terms: 33 + 8n = 5(-3 + 4n) 33 + 8n = (-3 * 5 + 4n * 5) 33 + 8n = (-15 + 20n) Solving 33 + 8n = -15 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 33 + 8n + -20n = -15 + 20n + -20n Combine like terms: 8n + -20n = -12n 33 + -12n = -15 + 20n + -20n Combine like terms: 20n + -20n = 0 33 + -12n = -15 + 0 33 + -12n = -15 Add '-33' to each side of the equation. 33 + -33 + -12n = -15 + -33 Combine like terms: 33 + -33 = 0 0 + -12n = -15 + -33 -12n = -15 + -33 Combine like terms: -15 + -33 = -48 -12n = -48 Divide each side by '-12'. n = 4 Simplifying n = 4
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