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Simplifying -6(5n + 7) = 14n Reorder the terms: -6(7 + 5n) = 14n (7 * -6 + 5n * -6) = 14n (-42 + -30n) = 14n Solving -42 + -30n = 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -42 + -30n + -14n = 14n + -14n Combine like terms: -30n + -14n = -44n -42 + -44n = 14n + -14n Combine like terms: 14n + -14n = 0 -42 + -44n = 0 Add '42' to each side of the equation. -42 + 42 + -44n = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -44n = 0 + 42 -44n = 0 + 42 Combine like terms: 0 + 42 = 42 -44n = 42 Divide each side by '-44'. n = -0.9545454545 Simplifying n = -0.9545454545
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