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Simplifying -2(-6a + 1) = 30 + 8a Reorder the terms: -2(1 + -6a) = 30 + 8a (1 * -2 + -6a * -2) = 30 + 8a (-2 + 12a) = 30 + 8a Solving -2 + 12a = 30 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -2 + 12a + -8a = 30 + 8a + -8a Combine like terms: 12a + -8a = 4a -2 + 4a = 30 + 8a + -8a Combine like terms: 8a + -8a = 0 -2 + 4a = 30 + 0 -2 + 4a = 30 Add '2' to each side of the equation. -2 + 2 + 4a = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 4a = 30 + 2 4a = 30 + 2 Combine like terms: 30 + 2 = 32 4a = 32 Divide each side by '4'. a = 8 Simplifying a = 8
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