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Simplifying 5(7n + -4) = 17 + -2n Reorder the terms: 5(-4 + 7n) = 17 + -2n (-4 * 5 + 7n * 5) = 17 + -2n (-20 + 35n) = 17 + -2n Solving -20 + 35n = 17 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -20 + 35n + 2n = 17 + -2n + 2n Combine like terms: 35n + 2n = 37n -20 + 37n = 17 + -2n + 2n Combine like terms: -2n + 2n = 0 -20 + 37n = 17 + 0 -20 + 37n = 17 Add '20' to each side of the equation. -20 + 20 + 37n = 17 + 20 Combine like terms: -20 + 20 = 0 0 + 37n = 17 + 20 37n = 17 + 20 Combine like terms: 17 + 20 = 37 37n = 37 Divide each side by '37'. n = 1 Simplifying n = 1
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