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Simplifying 34 = 3a + 2 + 3a + 2 + 2a + 2a Reorder the terms: 34 = 2 + 2 + 3a + 3a + 2a + 2a Combine like terms: 2 + 2 = 4 34 = 4 + 3a + 3a + 2a + 2a Combine like terms: 3a + 3a = 6a 34 = 4 + 6a + 2a + 2a Combine like terms: 6a + 2a = 8a 34 = 4 + 8a + 2a Combine like terms: 8a + 2a = 10a 34 = 4 + 10a Solving 34 = 4 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 34 + -10a = 4 + 10a + -10a Combine like terms: 10a + -10a = 0 34 + -10a = 4 + 0 34 + -10a = 4 Add '-34' to each side of the equation. 34 + -34 + -10a = 4 + -34 Combine like terms: 34 + -34 = 0 0 + -10a = 4 + -34 -10a = 4 + -34 Combine like terms: 4 + -34 = -30 -10a = -30 Divide each side by '-10'. a = 3 Simplifying a = 3
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