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Simplifying 3(2a + 2) = 2a + -6 Reorder the terms: 3(2 + 2a) = 2a + -6 (2 * 3 + 2a * 3) = 2a + -6 (6 + 6a) = 2a + -6 Reorder the terms: 6 + 6a = -6 + 2a Solving 6 + 6a = -6 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 6 + 6a + -2a = -6 + 2a + -2a Combine like terms: 6a + -2a = 4a 6 + 4a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 6 + 4a = -6 + 0 6 + 4a = -6 Add '-6' to each side of the equation. 6 + -6 + 4a = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 4a = -6 + -6 4a = -6 + -6 Combine like terms: -6 + -6 = -12 4a = -12 Divide each side by '4'. a = -3 Simplifying a = -3
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