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Simplifying a + 3 = 2a + -5 Reorder the terms: 3 + a = 2a + -5 Reorder the terms: 3 + a = -5 + 2a Solving 3 + a = -5 + 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. 3 + a + -2a = -5 + 2a + -2a Combine like terms: a + -2a = -1a 3 + -1a = -5 + 2a + -2a Combine like terms: 2a + -2a = 0 3 + -1a = -5 + 0 3 + -1a = -5 Add '-3' to each side of the equation. 3 + -3 + -1a = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = -5 + -3 -1a = -5 + -3 Combine like terms: -5 + -3 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8
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