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