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Simplifying 5a + 12a + 32 = 4 + 13a Reorder the terms: 32 + 5a + 12a = 4 + 13a Combine like terms: 5a + 12a = 17a 32 + 17a = 4 + 13a Solving 32 + 17a = 4 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 32 + 17a + -13a = 4 + 13a + -13a Combine like terms: 17a + -13a = 4a 32 + 4a = 4 + 13a + -13a Combine like terms: 13a + -13a = 0 32 + 4a = 4 + 0 32 + 4a = 4 Add '-32' to each side of the equation. 32 + -32 + 4a = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 4a = 4 + -32 4a = 4 + -32 Combine like terms: 4 + -32 = -28 4a = -28 Divide each side by '4'. a = -7 Simplifying a = -7
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