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Simplifying 2(7n + -1) = 3(5 + -3n) Reorder the terms: 2(-1 + 7n) = 3(5 + -3n) (-1 * 2 + 7n * 2) = 3(5 + -3n) (-2 + 14n) = 3(5 + -3n) -2 + 14n = (5 * 3 + -3n * 3) -2 + 14n = (15 + -9n) Solving -2 + 14n = 15 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -2 + 14n + 9n = 15 + -9n + 9n Combine like terms: 14n + 9n = 23n -2 + 23n = 15 + -9n + 9n Combine like terms: -9n + 9n = 0 -2 + 23n = 15 + 0 -2 + 23n = 15 Add '2' to each side of the equation. -2 + 2 + 23n = 15 + 2 Combine like terms: -2 + 2 = 0 0 + 23n = 15 + 2 23n = 15 + 2 Combine like terms: 15 + 2 = 17 23n = 17 Divide each side by '23'. n = 0.7391304348 Simplifying n = 0.7391304348
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