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Simplifying 7n + 32 = 4(5 + 3n) + -3n Reorder the terms: 32 + 7n = 4(5 + 3n) + -3n 32 + 7n = (5 * 4 + 3n * 4) + -3n 32 + 7n = (20 + 12n) + -3n Combine like terms: 12n + -3n = 9n 32 + 7n = 20 + 9n Solving 32 + 7n = 20 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 32 + 7n + -9n = 20 + 9n + -9n Combine like terms: 7n + -9n = -2n 32 + -2n = 20 + 9n + -9n Combine like terms: 9n + -9n = 0 32 + -2n = 20 + 0 32 + -2n = 20 Add '-32' to each side of the equation. 32 + -32 + -2n = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -2n = 20 + -32 -2n = 20 + -32 Combine like terms: 20 + -32 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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