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Simplifying 3a + -32 = -2a + 23 Reorder the terms: -32 + 3a = -2a + 23 Reorder the terms: -32 + 3a = 23 + -2a Solving -32 + 3a = 23 + -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 + 3a + 2a = 23 + -2a + 2a Combine like terms: 3a + 2a = 5a -32 + 5a = 23 + -2a + 2a Combine like terms: -2a + 2a = 0 -32 + 5a = 23 + 0 -32 + 5a = 23 Add '32' to each side of the equation. -32 + 32 + 5a = 23 + 32 Combine like terms: -32 + 32 = 0 0 + 5a = 23 + 32 5a = 23 + 32 Combine like terms: 23 + 32 = 55 5a = 55 Divide each side by '5'. a = 11 Simplifying a = 11
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