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Simplifying 2(2a + 4) = 2(a + -24) Reorder the terms: 2(4 + 2a) = 2(a + -24) (4 * 2 + 2a * 2) = 2(a + -24) (8 + 4a) = 2(a + -24) Reorder the terms: 8 + 4a = 2(-24 + a) 8 + 4a = (-24 * 2 + a * 2) 8 + 4a = (-48 + 2a) Solving 8 + 4a = -48 + 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. 8 + 4a + -2a = -48 + 2a + -2a Combine like terms: 4a + -2a = 2a 8 + 2a = -48 + 2a + -2a Combine like terms: 2a + -2a = 0 8 + 2a = -48 + 0 8 + 2a = -48 Add '-8' to each side of the equation. 8 + -8 + 2a = -48 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = -48 + -8 2a = -48 + -8 Combine like terms: -48 + -8 = -56 2a = -56 Divide each side by '2'. a = -28 Simplifying a = -28
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