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Simplifying 6a + 7 = 34 + -3a Reorder the terms: 7 + 6a = 34 + -3a Solving 7 + 6a = 34 + -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. 7 + 6a + 3a = 34 + -3a + 3a Combine like terms: 6a + 3a = 9a 7 + 9a = 34 + -3a + 3a Combine like terms: -3a + 3a = 0 7 + 9a = 34 + 0 7 + 9a = 34 Add '-7' to each side of the equation. 7 + -7 + 9a = 34 + -7 Combine like terms: 7 + -7 = 0 0 + 9a = 34 + -7 9a = 34 + -7 Combine like terms: 34 + -7 = 27 9a = 27 Divide each side by '9'. a = 3 Simplifying a = 3
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