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Simplifying 2(3a + -2) + 6 = 4 + 4a Reorder the terms: 2(-2 + 3a) + 6 = 4 + 4a (-2 * 2 + 3a * 2) + 6 = 4 + 4a (-4 + 6a) + 6 = 4 + 4a Reorder the terms: -4 + 6 + 6a = 4 + 4a Combine like terms: -4 + 6 = 2 2 + 6a = 4 + 4a Solving 2 + 6a = 4 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 2 + 6a + -4a = 4 + 4a + -4a Combine like terms: 6a + -4a = 2a 2 + 2a = 4 + 4a + -4a Combine like terms: 4a + -4a = 0 2 + 2a = 4 + 0 2 + 2a = 4 Add '-2' to each side of the equation. 2 + -2 + 2a = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 2a = 4 + -2 2a = 4 + -2 Combine like terms: 4 + -2 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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