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Simplifying -293 = -8(1 + 6a) + 3 -293 = (1 * -8 + 6a * -8) + 3 -293 = (-8 + -48a) + 3 Reorder the terms: -293 = -8 + 3 + -48a Combine like terms: -8 + 3 = -5 -293 = -5 + -48a Solving -293 = -5 + -48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48a' to each side of the equation. -293 + 48a = -5 + -48a + 48a Combine like terms: -48a + 48a = 0 -293 + 48a = -5 + 0 -293 + 48a = -5 Add '293' to each side of the equation. -293 + 293 + 48a = -5 + 293 Combine like terms: -293 + 293 = 0 0 + 48a = -5 + 293 48a = -5 + 293 Combine like terms: -5 + 293 = 288 48a = 288 Divide each side by '48'. a = 6 Simplifying a = 6
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