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Simplifying 71 = 6(4n + -8) + -7n Reorder the terms: 71 = 6(-8 + 4n) + -7n 71 = (-8 * 6 + 4n * 6) + -7n 71 = (-48 + 24n) + -7n Combine like terms: 24n + -7n = 17n 71 = -48 + 17n Solving 71 = -48 + 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. 71 + -17n = -48 + 17n + -17n Combine like terms: 17n + -17n = 0 71 + -17n = -48 + 0 71 + -17n = -48 Add '-71' to each side of the equation. 71 + -71 + -17n = -48 + -71 Combine like terms: 71 + -71 = 0 0 + -17n = -48 + -71 -17n = -48 + -71 Combine like terms: -48 + -71 = -119 -17n = -119 Divide each side by '-17'. n = 7 Simplifying n = 7
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