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Simplifying 3a + 5 = 35 + -7a Reorder the terms: 5 + 3a = 35 + -7a Solving 5 + 3a = 35 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 5 + 3a + 7a = 35 + -7a + 7a Combine like terms: 3a + 7a = 10a 5 + 10a = 35 + -7a + 7a Combine like terms: -7a + 7a = 0 5 + 10a = 35 + 0 5 + 10a = 35 Add '-5' to each side of the equation. 5 + -5 + 10a = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 10a = 35 + -5 10a = 35 + -5 Combine like terms: 35 + -5 = 30 10a = 30 Divide each side by '10'. a = 3 Simplifying a = 3
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