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Simplifying 5a + -32 = a + 8 Reorder the terms: -32 + 5a = a + 8 Reorder the terms: -32 + 5a = 8 + a Solving -32 + 5a = 8 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -32 + 5a + -1a = 8 + a + -1a Combine like terms: 5a + -1a = 4a -32 + 4a = 8 + a + -1a Combine like terms: a + -1a = 0 -32 + 4a = 8 + 0 -32 + 4a = 8 Add '32' to each side of the equation. -32 + 32 + 4a = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 4a = 8 + 32 4a = 8 + 32 Combine like terms: 8 + 32 = 40 4a = 40 Divide each side by '4'. a = 10 Simplifying a = 10
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