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Simplifying 6a + 3 = 9a + -12 Reorder the terms: 3 + 6a = 9a + -12 Reorder the terms: 3 + 6a = -12 + 9a Solving 3 + 6a = -12 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 3 + 6a + -9a = -12 + 9a + -9a Combine like terms: 6a + -9a = -3a 3 + -3a = -12 + 9a + -9a Combine like terms: 9a + -9a = 0 3 + -3a = -12 + 0 3 + -3a = -12 Add '-3' to each side of the equation. 3 + -3 + -3a = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3a = -12 + -3 -3a = -12 + -3 Combine like terms: -12 + -3 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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