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Simplifying 4a + -4 = 2a + 32 Reorder the terms: -4 + 4a = 2a + 32 Reorder the terms: -4 + 4a = 32 + 2a Solving -4 + 4a = 32 + 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. -4 + 4a + -2a = 32 + 2a + -2a Combine like terms: 4a + -2a = 2a -4 + 2a = 32 + 2a + -2a Combine like terms: 2a + -2a = 0 -4 + 2a = 32 + 0 -4 + 2a = 32 Add '4' to each side of the equation. -4 + 4 + 2a = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = 32 + 4 2a = 32 + 4 Combine like terms: 32 + 4 = 36 2a = 36 Divide each side by '2'. a = 18 Simplifying a = 18
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