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Simplifying 2a + 3a + -7 + 2 = 35 + -5a Reorder the terms: -7 + 2 + 2a + 3a = 35 + -5a Combine like terms: -7 + 2 = -5 -5 + 2a + 3a = 35 + -5a Combine like terms: 2a + 3a = 5a -5 + 5a = 35 + -5a Solving -5 + 5a = 35 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -5 + 5a + 5a = 35 + -5a + 5a Combine like terms: 5a + 5a = 10a -5 + 10a = 35 + -5a + 5a Combine like terms: -5a + 5a = 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 = 40 10a = 40 Divide each side by '10'. a = 4 Simplifying a = 4
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