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Simplifying 12 + -2a = 5a + -9 Reorder the terms: 12 + -2a = -9 + 5a Solving 12 + -2a = -9 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 12 + -2a + -5a = -9 + 5a + -5a Combine like terms: -2a + -5a = -7a 12 + -7a = -9 + 5a + -5a Combine like terms: 5a + -5a = 0 12 + -7a = -9 + 0 12 + -7a = -9 Add '-12' to each side of the equation. 12 + -12 + -7a = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -7a = -9 + -12 -7a = -9 + -12 Combine like terms: -9 + -12 = -21 -7a = -21 Divide each side by '-7'. a = 3 Simplifying a = 3
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