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Simplifying 15a + 32 = 4 + -13a Reorder the terms: 32 + 15a = 4 + -13a Solving 32 + 15a = 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 + 15a + 13a = 4 + -13a + 13a Combine like terms: 15a + 13a = 28a 32 + 28a = 4 + -13a + 13a Combine like terms: -13a + 13a = 0 32 + 28a = 4 + 0 32 + 28a = 4 Add '-32' to each side of the equation. 32 + -32 + 28a = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 28a = 4 + -32 28a = 4 + -32 Combine like terms: 4 + -32 = -28 28a = -28 Divide each side by '28'. a = -1 Simplifying a = -1
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