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Simplifying 4(a + -2) = 2(a + 8) Reorder the terms: 4(-2 + a) = 2(a + 8) (-2 * 4 + a * 4) = 2(a + 8) (-8 + 4a) = 2(a + 8) Reorder the terms: -8 + 4a = 2(8 + a) -8 + 4a = (8 * 2 + a * 2) -8 + 4a = (16 + 2a) Solving -8 + 4a = 16 + 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 = 16 + 2a + -2a Combine like terms: 4a + -2a = 2a -8 + 2a = 16 + 2a + -2a Combine like terms: 2a + -2a = 0 -8 + 2a = 16 + 0 -8 + 2a = 16 Add '8' to each side of the equation. -8 + 8 + 2a = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 2a = 16 + 8 2a = 16 + 8 Combine like terms: 16 + 8 = 24 2a = 24 Divide each side by '2'. a = 12 Simplifying a = 12
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