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Simplifying 32 + 13a = 7a + 8 Reorder the terms: 32 + 13a = 8 + 7a Solving 32 + 13a = 8 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 32 + 13a + -7a = 8 + 7a + -7a Combine like terms: 13a + -7a = 6a 32 + 6a = 8 + 7a + -7a Combine like terms: 7a + -7a = 0 32 + 6a = 8 + 0 32 + 6a = 8 Add '-32' to each side of the equation. 32 + -32 + 6a = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 6a = 8 + -32 6a = 8 + -32 Combine like terms: 8 + -32 = -24 6a = -24 Divide each side by '6'. a = -4 Simplifying a = -4
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