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Simplifying 5a + 12 = 9a + -12 Reorder the terms: 12 + 5a = 9a + -12 Reorder the terms: 12 + 5a = -12 + 9a Solving 12 + 5a = -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. 12 + 5a + -9a = -12 + 9a + -9a Combine like terms: 5a + -9a = -4a 12 + -4a = -12 + 9a + -9a Combine like terms: 9a + -9a = 0 12 + -4a = -12 + 0 12 + -4a = -12 Add '-12' to each side of the equation. 12 + -12 + -4a = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4a = -12 + -12 -4a = -12 + -12 Combine like terms: -12 + -12 = -24 -4a = -24 Divide each side by '-4'. a = 6 Simplifying a = 6
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