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Simplifying -7(-3n + 4) + 6n = 32 + 7n Reorder the terms: -7(4 + -3n) + 6n = 32 + 7n (4 * -7 + -3n * -7) + 6n = 32 + 7n (-28 + 21n) + 6n = 32 + 7n Combine like terms: 21n + 6n = 27n -28 + 27n = 32 + 7n Solving -28 + 27n = 32 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -28 + 27n + -7n = 32 + 7n + -7n Combine like terms: 27n + -7n = 20n -28 + 20n = 32 + 7n + -7n Combine like terms: 7n + -7n = 0 -28 + 20n = 32 + 0 -28 + 20n = 32 Add '28' to each side of the equation. -28 + 28 + 20n = 32 + 28 Combine like terms: -28 + 28 = 0 0 + 20n = 32 + 28 20n = 32 + 28 Combine like terms: 32 + 28 = 60 20n = 60 Divide each side by '20'. n = 3 Simplifying n = 3
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