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Simplifying 34 + 3a = 42 + -1a Solving 34 + 3a = 42 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 34 + 3a + a = 42 + -1a + a Combine like terms: 3a + a = 4a 34 + 4a = 42 + -1a + a Combine like terms: -1a + a = 0 34 + 4a = 42 + 0 34 + 4a = 42 Add '-34' to each side of the equation. 34 + -34 + 4a = 42 + -34 Combine like terms: 34 + -34 = 0 0 + 4a = 42 + -34 4a = 42 + -34 Combine like terms: 42 + -34 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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