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Simplifying -4(7 + -7n) + 7n = 32 + 5n (7 * -4 + -7n * -4) + 7n = 32 + 5n (-28 + 28n) + 7n = 32 + 5n Combine like terms: 28n + 7n = 35n -28 + 35n = 32 + 5n Solving -28 + 35n = 32 + 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. -28 + 35n + -5n = 32 + 5n + -5n Combine like terms: 35n + -5n = 30n -28 + 30n = 32 + 5n + -5n Combine like terms: 5n + -5n = 0 -28 + 30n = 32 + 0 -28 + 30n = 32 Add '28' to each side of the equation. -28 + 28 + 30n = 32 + 28 Combine like terms: -28 + 28 = 0 0 + 30n = 32 + 28 30n = 32 + 28 Combine like terms: 32 + 28 = 60 30n = 60 Divide each side by '30'. n = 2 Simplifying n = 2
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