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Simplifying 2(7n + -7) = -6(5n + -5) Reorder the terms: 2(-7 + 7n) = -6(5n + -5) (-7 * 2 + 7n * 2) = -6(5n + -5) (-14 + 14n) = -6(5n + -5) Reorder the terms: -14 + 14n = -6(-5 + 5n) -14 + 14n = (-5 * -6 + 5n * -6) -14 + 14n = (30 + -30n) Solving -14 + 14n = 30 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. -14 + 14n + 30n = 30 + -30n + 30n Combine like terms: 14n + 30n = 44n -14 + 44n = 30 + -30n + 30n Combine like terms: -30n + 30n = 0 -14 + 44n = 30 + 0 -14 + 44n = 30 Add '14' to each side of the equation. -14 + 14 + 44n = 30 + 14 Combine like terms: -14 + 14 = 0 0 + 44n = 30 + 14 44n = 30 + 14 Combine like terms: 30 + 14 = 44 44n = 44 Divide each side by '44'. n = 1 Simplifying n = 1
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