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Simplifying 32 + -8a = 52 + -6a + 2 Reorder the terms: 32 + -8a = 52 + 2 + -6a Combine like terms: 52 + 2 = 54 32 + -8a = 54 + -6a Solving 32 + -8a = 54 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 32 + -8a + 6a = 54 + -6a + 6a Combine like terms: -8a + 6a = -2a 32 + -2a = 54 + -6a + 6a Combine like terms: -6a + 6a = 0 32 + -2a = 54 + 0 32 + -2a = 54 Add '-32' to each side of the equation. 32 + -32 + -2a = 54 + -32 Combine like terms: 32 + -32 = 0 0 + -2a = 54 + -32 -2a = 54 + -32 Combine like terms: 54 + -32 = 22 -2a = 22 Divide each side by '-2'. a = -11 Simplifying a = -11
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