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Simplifying 12 + -3a + 12 = 7 + a Reorder the terms: 12 + 12 + -3a = 7 + a Combine like terms: 12 + 12 = 24 24 + -3a = 7 + a Solving 24 + -3a = 7 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 24 + -3a + -1a = 7 + a + -1a Combine like terms: -3a + -1a = -4a 24 + -4a = 7 + a + -1a Combine like terms: a + -1a = 0 24 + -4a = 7 + 0 24 + -4a = 7 Add '-24' to each side of the equation. 24 + -24 + -4a = 7 + -24 Combine like terms: 24 + -24 = 0 0 + -4a = 7 + -24 -4a = 7 + -24 Combine like terms: 7 + -24 = -17 -4a = -17 Divide each side by '-4'. a = 4.25 Simplifying a = 4.25
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