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Simplifying 384 = -8(1 + 7n) 384 = (1 * -8 + 7n * -8) 384 = (-8 + -56n) Solving 384 = -8 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. 384 + 56n = -8 + -56n + 56n Combine like terms: -56n + 56n = 0 384 + 56n = -8 + 0 384 + 56n = -8 Add '-384' to each side of the equation. 384 + -384 + 56n = -8 + -384 Combine like terms: 384 + -384 = 0 0 + 56n = -8 + -384 56n = -8 + -384 Combine like terms: -8 + -384 = -392 56n = -392 Divide each side by '56'. n = -7 Simplifying n = -7
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