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Simplifying 5(6n + -7) = n + -35 Reorder the terms: 5(-7 + 6n) = n + -35 (-7 * 5 + 6n * 5) = n + -35 (-35 + 30n) = n + -35 Reorder the terms: -35 + 30n = -35 + n Add '35' to each side of the equation. -35 + 35 + 30n = -35 + 35 + n Combine like terms: -35 + 35 = 0 0 + 30n = -35 + 35 + n 30n = -35 + 35 + n Combine like terms: -35 + 35 = 0 30n = 0 + n 30n = n Solving 30n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 30n + -1n = n + -1n Combine like terms: 30n + -1n = 29n 29n = n + -1n Combine like terms: n + -1n = 0 29n = 0 Divide each side by '29'. n = 0 Simplifying n = 0
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