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Simplifying 32 = 7a + -5a + 12 Reorder the terms: 32 = 12 + 7a + -5a Combine like terms: 7a + -5a = 2a 32 = 12 + 2a Solving 32 = 12 + 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. 32 + -2a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 32 + -2a = 12 + 0 32 + -2a = 12 Add '-32' to each side of the equation. 32 + -32 + -2a = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -2a = 12 + -32 -2a = 12 + -32 Combine like terms: 12 + -32 = -20 -2a = -20 Divide each side by '-2'. a = 10 Simplifying a = 10
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