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Simplifying a + 1 = 10 + -2a Reorder the terms: 1 + a = 10 + -2a Solving 1 + a = 10 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 1 + a + 2a = 10 + -2a + 2a Combine like terms: a + 2a = 3a 1 + 3a = 10 + -2a + 2a Combine like terms: -2a + 2a = 0 1 + 3a = 10 + 0 1 + 3a = 10 Add '-1' to each side of the equation. 1 + -1 + 3a = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 3a = 10 + -1 3a = 10 + -1 Combine like terms: 10 + -1 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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