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Simplifying 2a + -5 = -8a + 35 Reorder the terms: -5 + 2a = -8a + 35 Reorder the terms: -5 + 2a = 35 + -8a Solving -5 + 2a = 35 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -5 + 2a + 8a = 35 + -8a + 8a Combine like terms: 2a + 8a = 10a -5 + 10a = 35 + -8a + 8a Combine like terms: -8a + 8a = 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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