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Simplifying 35 + -3a = 89 + 6a Solving 35 + -3a = 89 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 35 + -3a + -6a = 89 + 6a + -6a Combine like terms: -3a + -6a = -9a 35 + -9a = 89 + 6a + -6a Combine like terms: 6a + -6a = 0 35 + -9a = 89 + 0 35 + -9a = 89 Add '-35' to each side of the equation. 35 + -35 + -9a = 89 + -35 Combine like terms: 35 + -35 = 0 0 + -9a = 89 + -35 -9a = 89 + -35 Combine like terms: 89 + -35 = 54 -9a = 54 Divide each side by '-9'. a = -6 Simplifying a = -6
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