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Simplifying 177 = -3(-7n + -5) + 6n Reorder the terms: 177 = -3(-5 + -7n) + 6n 177 = (-5 * -3 + -7n * -3) + 6n 177 = (15 + 21n) + 6n Combine like terms: 21n + 6n = 27n 177 = 15 + 27n Solving 177 = 15 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. 177 + -27n = 15 + 27n + -27n Combine like terms: 27n + -27n = 0 177 + -27n = 15 + 0 177 + -27n = 15 Add '-177' to each side of the equation. 177 + -177 + -27n = 15 + -177 Combine like terms: 177 + -177 = 0 0 + -27n = 15 + -177 -27n = 15 + -177 Combine like terms: 15 + -177 = -162 -27n = -162 Divide each side by '-27'. n = 6 Simplifying n = 6
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