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Simplifying 32 = 2 + -5(-4n + 6) Reorder the terms: 32 = 2 + -5(6 + -4n) 32 = 2 + (6 * -5 + -4n * -5) 32 = 2 + (-30 + 20n) Combine like terms: 2 + -30 = -28 32 = -28 + 20n Solving 32 = -28 + 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. 32 + -20n = -28 + 20n + -20n Combine like terms: 20n + -20n = 0 32 + -20n = -28 + 0 32 + -20n = -28 Add '-32' to each side of the equation. 32 + -32 + -20n = -28 + -32 Combine like terms: 32 + -32 = 0 0 + -20n = -28 + -32 -20n = -28 + -32 Combine like terms: -28 + -32 = -60 -20n = -60 Divide each side by '-20'. n = 3 Simplifying n = 3
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