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Simplifying 6(8 + 4n) = -3 + 7n (8 * 6 + 4n * 6) = -3 + 7n (48 + 24n) = -3 + 7n Solving 48 + 24n = -3 + 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 = -3 + 7n + -7n Combine like terms: 24n + -7n = 17n 48 + 17n = -3 + 7n + -7n Combine like terms: 7n + -7n = 0 48 + 17n = -3 + 0 48 + 17n = -3 Add '-48' to each side of the equation. 48 + -48 + 17n = -3 + -48 Combine like terms: 48 + -48 = 0 0 + 17n = -3 + -48 17n = -3 + -48 Combine like terms: -3 + -48 = -51 17n = -51 Divide each side by '17'. n = -3 Simplifying n = -3
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