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Simplifying 10a + -35 = 8a + 1 Reorder the terms: -35 + 10a = 8a + 1 Reorder the terms: -35 + 10a = 1 + 8a Solving -35 + 10a = 1 + 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. -35 + 10a + -8a = 1 + 8a + -8a Combine like terms: 10a + -8a = 2a -35 + 2a = 1 + 8a + -8a Combine like terms: 8a + -8a = 0 -35 + 2a = 1 + 0 -35 + 2a = 1 Add '35' to each side of the equation. -35 + 35 + 2a = 1 + 35 Combine like terms: -35 + 35 = 0 0 + 2a = 1 + 35 2a = 1 + 35 Combine like terms: 1 + 35 = 36 2a = 36 Divide each side by '2'. a = 18 Simplifying a = 18
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