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Simplifying 20a + -2a + 32 = 12a + -6 Reorder the terms: 32 + 20a + -2a = 12a + -6 Combine like terms: 20a + -2a = 18a 32 + 18a = 12a + -6 Reorder the terms: 32 + 18a = -6 + 12a Solving 32 + 18a = -6 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 32 + 18a + -12a = -6 + 12a + -12a Combine like terms: 18a + -12a = 6a 32 + 6a = -6 + 12a + -12a Combine like terms: 12a + -12a = 0 32 + 6a = -6 + 0 32 + 6a = -6 Add '-32' to each side of the equation. 32 + -32 + 6a = -6 + -32 Combine like terms: 32 + -32 = 0 0 + 6a = -6 + -32 6a = -6 + -32 Combine like terms: -6 + -32 = -38 6a = -38 Divide each side by '6'. a = -6.333333333 Simplifying a = -6.333333333
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