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Simplifying 2(-3n + -5) + -2n = 32 + 6n Reorder the terms: 2(-5 + -3n) + -2n = 32 + 6n (-5 * 2 + -3n * 2) + -2n = 32 + 6n (-10 + -6n) + -2n = 32 + 6n Combine like terms: -6n + -2n = -8n -10 + -8n = 32 + 6n Solving -10 + -8n = 32 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -10 + -8n + -6n = 32 + 6n + -6n Combine like terms: -8n + -6n = -14n -10 + -14n = 32 + 6n + -6n Combine like terms: 6n + -6n = 0 -10 + -14n = 32 + 0 -10 + -14n = 32 Add '10' to each side of the equation. -10 + 10 + -14n = 32 + 10 Combine like terms: -10 + 10 = 0 0 + -14n = 32 + 10 -14n = 32 + 10 Combine like terms: 32 + 10 = 42 -14n = 42 Divide each side by '-14'. n = -3 Simplifying n = -3
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