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Simplifying -69 = 3(1 + -4a) -69 = (1 * 3 + -4a * 3) -69 = (3 + -12a) Solving -69 = 3 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -69 + 12a = 3 + -12a + 12a Combine like terms: -12a + 12a = 0 -69 + 12a = 3 + 0 -69 + 12a = 3 Add '69' to each side of the equation. -69 + 69 + 12a = 3 + 69 Combine like terms: -69 + 69 = 0 0 + 12a = 3 + 69 12a = 3 + 69 Combine like terms: 3 + 69 = 72 12a = 72 Divide each side by '12'. a = 6 Simplifying a = 6
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