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Simplifying 5(-2 + -3n) = -33 + 8n (-2 * 5 + -3n * 5) = -33 + 8n (-10 + -15n) = -33 + 8n Solving -10 + -15n = -33 + 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. -10 + -15n + -8n = -33 + 8n + -8n Combine like terms: -15n + -8n = -23n -10 + -23n = -33 + 8n + -8n Combine like terms: 8n + -8n = 0 -10 + -23n = -33 + 0 -10 + -23n = -33 Add '10' to each side of the equation. -10 + 10 + -23n = -33 + 10 Combine like terms: -10 + 10 = 0 0 + -23n = -33 + 10 -23n = -33 + 10 Combine like terms: -33 + 10 = -23 -23n = -23 Divide each side by '-23'. n = 1 Simplifying n = 1
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