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Simplifying -6(4n + -8) = 17 + 7n Reorder the terms: -6(-8 + 4n) = 17 + 7n (-8 * -6 + 4n * -6) = 17 + 7n (48 + -24n) = 17 + 7n Solving 48 + -24n = 17 + 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. 48 + -24n + -7n = 17 + 7n + -7n Combine like terms: -24n + -7n = -31n 48 + -31n = 17 + 7n + -7n Combine like terms: 7n + -7n = 0 48 + -31n = 17 + 0 48 + -31n = 17 Add '-48' to each side of the equation. 48 + -48 + -31n = 17 + -48 Combine like terms: 48 + -48 = 0 0 + -31n = 17 + -48 -31n = 17 + -48 Combine like terms: 17 + -48 = -31 -31n = -31 Divide each side by '-31'. n = 1 Simplifying n = 1
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