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Simplifying -15 + -6a = 3(1 + -8a) -15 + -6a = (1 * 3 + -8a * 3) -15 + -6a = (3 + -24a) Solving -15 + -6a = 3 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. -15 + -6a + 24a = 3 + -24a + 24a Combine like terms: -6a + 24a = 18a -15 + 18a = 3 + -24a + 24a Combine like terms: -24a + 24a = 0 -15 + 18a = 3 + 0 -15 + 18a = 3 Add '15' to each side of the equation. -15 + 15 + 18a = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 18a = 3 + 15 18a = 3 + 15 Combine like terms: 3 + 15 = 18 18a = 18 Divide each side by '18'. a = 1 Simplifying a = 1
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