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Simplifying 7a + 35 + -12 = 3a + 6 Reorder the terms: 35 + -12 + 7a = 3a + 6 Combine like terms: 35 + -12 = 23 23 + 7a = 3a + 6 Reorder the terms: 23 + 7a = 6 + 3a Solving 23 + 7a = 6 + 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. 23 + 7a + -3a = 6 + 3a + -3a Combine like terms: 7a + -3a = 4a 23 + 4a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 23 + 4a = 6 + 0 23 + 4a = 6 Add '-23' to each side of the equation. 23 + -23 + 4a = 6 + -23 Combine like terms: 23 + -23 = 0 0 + 4a = 6 + -23 4a = 6 + -23 Combine like terms: 6 + -23 = -17 4a = -17 Divide each side by '4'. a = -4.25 Simplifying a = -4.25
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