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Simplifying -35 + 6a = -8a + 3(1 + -8a) -35 + 6a = -8a + (1 * 3 + -8a * 3) -35 + 6a = -8a + (3 + -24a) Reorder the terms: -35 + 6a = 3 + -8a + -24a Combine like terms: -8a + -24a = -32a -35 + 6a = 3 + -32a Solving -35 + 6a = 3 + -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. -35 + 6a + 32a = 3 + -32a + 32a Combine like terms: 6a + 32a = 38a -35 + 38a = 3 + -32a + 32a Combine like terms: -32a + 32a = 0 -35 + 38a = 3 + 0 -35 + 38a = 3 Add '35' to each side of the equation. -35 + 35 + 38a = 3 + 35 Combine like terms: -35 + 35 = 0 0 + 38a = 3 + 35 38a = 3 + 35 Combine like terms: 3 + 35 = 38 38a = 38 Divide each side by '38'. a = 1 Simplifying a = 1
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