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Simplifying -5(6n + 2) = 7n + 7 Reorder the terms: -5(2 + 6n) = 7n + 7 (2 * -5 + 6n * -5) = 7n + 7 (-10 + -30n) = 7n + 7 Reorder the terms: -10 + -30n = 7 + 7n Solving -10 + -30n = 7 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -10 + -30n + -7n = 7 + 7n + -7n Combine like terms: -30n + -7n = -37n -10 + -37n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -10 + -37n = 7 + 0 -10 + -37n = 7 Add '10' to each side of the equation. -10 + 10 + -37n = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -37n = 7 + 10 -37n = 7 + 10 Combine like terms: 7 + 10 = 17 -37n = 17 Divide each side by '-37'. n = -0.4594594595 Simplifying n = -0.4594594595
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