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Simplifying 13a + (-32) = 7a + (-8) 13a + -32 = 7a + (-8) Reorder the terms: -32 + 13a = 7a + (-8) -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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