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