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Simplifying 4(a + 2) = 2(-2 + a) + -4 Reorder the terms: 4(2 + a) = 2(-2 + a) + -4 (2 * 4 + a * 4) = 2(-2 + a) + -4 (8 + 4a) = 2(-2 + a) + -4 8 + 4a = (-2 * 2 + a * 2) + -4 8 + 4a = (-4 + 2a) + -4 Reorder the terms: 8 + 4a = -4 + -4 + 2a Combine like terms: -4 + -4 = -8 8 + 4a = -8 + 2a Solving 8 + 4a = -8 + 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 = -8 + 2a + -2a Combine like terms: 4a + -2a = 2a 8 + 2a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 8 + 2a = -8 + 0 8 + 2a = -8 Add '-8' to each side of the equation. 8 + -8 + 2a = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = -8 + -8 2a = -8 + -8 Combine like terms: -8 + -8 = -16 2a = -16 Divide each side by '2'. a = -8 Simplifying a = -8
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