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Simplifying 2a + 1 = 5a + -5 Reorder the terms: 1 + 2a = 5a + -5 Reorder the terms: 1 + 2a = -5 + 5a Solving 1 + 2a = -5 + 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. 1 + 2a + -5a = -5 + 5a + -5a Combine like terms: 2a + -5a = -3a 1 + -3a = -5 + 5a + -5a Combine like terms: 5a + -5a = 0 1 + -3a = -5 + 0 1 + -3a = -5 Add '-1' to each side of the equation. 1 + -1 + -3a = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -3a = -5 + -1 -3a = -5 + -1 Combine like terms: -5 + -1 = -6 -3a = -6 Divide each side by '-3'. a = 2 Simplifying a = 2
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