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Simplifying 5(6n + -7) = -5(n + -7) Reorder the terms: 5(-7 + 6n) = -5(n + -7) (-7 * 5 + 6n * 5) = -5(n + -7) (-35 + 30n) = -5(n + -7) Reorder the terms: -35 + 30n = -5(-7 + n) -35 + 30n = (-7 * -5 + n * -5) -35 + 30n = (35 + -5n) Solving -35 + 30n = 35 + -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. -35 + 30n + 5n = 35 + -5n + 5n Combine like terms: 30n + 5n = 35n -35 + 35n = 35 + -5n + 5n Combine like terms: -5n + 5n = 0 -35 + 35n = 35 + 0 -35 + 35n = 35 Add '35' to each side of the equation. -35 + 35 + 35n = 35 + 35 Combine like terms: -35 + 35 = 0 0 + 35n = 35 + 35 35n = 35 + 35 Combine like terms: 35 + 35 = 70 35n = 70 Divide each side by '35'. n = 2 Simplifying n = 2
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