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Simplifying (4a + 8) = (6a + -32) Reorder the terms: (8 + 4a) = (6a + -32) Remove parenthesis around (8 + 4a) 8 + 4a = (6a + -32) Reorder the terms: 8 + 4a = (-32 + 6a) Remove parenthesis around (-32 + 6a) 8 + 4a = -32 + 6a Solving 8 + 4a = -32 + 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 + 4a + -6a = -32 + 6a + -6a Combine like terms: 4a + -6a = -2a 8 + -2a = -32 + 6a + -6a Combine like terms: 6a + -6a = 0 8 + -2a = -32 + 0 8 + -2a = -32 Add '-8' to each side of the equation. 8 + -8 + -2a = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -2a = -32 + -8 -2a = -32 + -8 Combine like terms: -32 + -8 = -40 -2a = -40 Divide each side by '-2'. a = 20 Simplifying a = 20
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