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Simplifying 3(6a + -2) = 34 + 8a Reorder the terms: 3(-2 + 6a) = 34 + 8a (-2 * 3 + 6a * 3) = 34 + 8a (-6 + 18a) = 34 + 8a Solving -6 + 18a = 34 + 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. -6 + 18a + -8a = 34 + 8a + -8a Combine like terms: 18a + -8a = 10a -6 + 10a = 34 + 8a + -8a Combine like terms: 8a + -8a = 0 -6 + 10a = 34 + 0 -6 + 10a = 34 Add '6' to each side of the equation. -6 + 6 + 10a = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 10a = 34 + 6 10a = 34 + 6 Combine like terms: 34 + 6 = 40 10a = 40 Divide each side by '10'. a = 4 Simplifying a = 4
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