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Simplifying 7a + -12 = 9a + -6a Reorder the terms: -12 + 7a = 9a + -6a Combine like terms: 9a + -6a = 3a -12 + 7a = 3a Solving -12 + 7a = 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -12 + 7a + -3a = 3a + -3a Combine like terms: 7a + -3a = 4a -12 + 4a = 3a + -3a Combine like terms: 3a + -3a = 0 -12 + 4a = 0 Add '12' to each side of the equation. -12 + 12 + 4a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4a = 0 + 12 4a = 0 + 12 Combine like terms: 0 + 12 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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