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Simplifying 4(2a + 2) = 3(2a + -2) Reorder the terms: 4(2 + 2a) = 3(2a + -2) (2 * 4 + 2a * 4) = 3(2a + -2) (8 + 8a) = 3(2a + -2) Reorder the terms: 8 + 8a = 3(-2 + 2a) 8 + 8a = (-2 * 3 + 2a * 3) 8 + 8a = (-6 + 6a) Solving 8 + 8a = -6 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 8 + 8a + -6a = -6 + 6a + -6a Combine like terms: 8a + -6a = 2a 8 + 2a = -6 + 6a + -6a Combine like terms: 6a + -6a = 0 8 + 2a = -6 + 0 8 + 2a = -6 Add '-8' to each side of the equation. 8 + -8 + 2a = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = -6 + -8 2a = -6 + -8 Combine like terms: -6 + -8 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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