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Simplifying 120 = -8(1 + 4a) 120 = (1 * -8 + 4a * -8) 120 = (-8 + -32a) Solving 120 = -8 + -32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32a' to each side of the equation. 120 + 32a = -8 + -32a + 32a Combine like terms: -32a + 32a = 0 120 + 32a = -8 + 0 120 + 32a = -8 Add '-120' to each side of the equation. 120 + -120 + 32a = -8 + -120 Combine like terms: 120 + -120 = 0 0 + 32a = -8 + -120 32a = -8 + -120 Combine like terms: -8 + -120 = -128 32a = -128 Divide each side by '32'. a = -4 Simplifying a = -4
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