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Simplifying n + 5 = 5(7 + -5n) + -4n Reorder the terms: 5 + n = 5(7 + -5n) + -4n 5 + n = (7 * 5 + -5n * 5) + -4n 5 + n = (35 + -25n) + -4n Combine like terms: -25n + -4n = -29n 5 + n = 35 + -29n Solving 5 + n = 35 + -29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29n' to each side of the equation. 5 + n + 29n = 35 + -29n + 29n Combine like terms: n + 29n = 30n 5 + 30n = 35 + -29n + 29n Combine like terms: -29n + 29n = 0 5 + 30n = 35 + 0 5 + 30n = 35 Add '-5' to each side of the equation. 5 + -5 + 30n = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 30n = 35 + -5 30n = 35 + -5 Combine like terms: 35 + -5 = 30 30n = 30 Divide each side by '30'. n = 1 Simplifying n = 1
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