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Simplifying 9n + 32 = 7n + -2(n + -2) Reorder the terms: 32 + 9n = 7n + -2(n + -2) Reorder the terms: 32 + 9n = 7n + -2(-2 + n) 32 + 9n = 7n + (-2 * -2 + n * -2) 32 + 9n = 7n + (4 + -2n) Reorder the terms: 32 + 9n = 4 + 7n + -2n Combine like terms: 7n + -2n = 5n 32 + 9n = 4 + 5n Solving 32 + 9n = 4 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 32 + 9n + -5n = 4 + 5n + -5n Combine like terms: 9n + -5n = 4n 32 + 4n = 4 + 5n + -5n Combine like terms: 5n + -5n = 0 32 + 4n = 4 + 0 32 + 4n = 4 Add '-32' to each side of the equation. 32 + -32 + 4n = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 4n = 4 + -32 4n = 4 + -32 Combine like terms: 4 + -32 = -28 4n = -28 Divide each side by '4'. n = -7 Simplifying n = -7
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