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Simplifying A + 5a + 3 = 2a + 8a + -2 Reorder the terms: 3 + A + 5a = 2a + 8a + -2 Reorder the terms: 3 + A + 5a = -2 + 2a + 8a Combine like terms: 2a + 8a = 10a 3 + A + 5a = -2 + 10a Solving 3 + A + 5a = -2 + 10a Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + A + -3 + 5a = -2 + -3 + 10a Reorder the terms: 3 + -3 + A + 5a = -2 + -3 + 10a Combine like terms: 3 + -3 = 0 0 + A + 5a = -2 + -3 + 10a A + 5a = -2 + -3 + 10a Combine like terms: -2 + -3 = -5 A + 5a = -5 + 10a Add '-5a' to each side of the equation. A + 5a + -5a = -5 + 10a + -5a Combine like terms: 5a + -5a = 0 A + 0 = -5 + 10a + -5a A = -5 + 10a + -5a Combine like terms: 10a + -5a = 5a A = -5 + 5a Simplifying A = -5 + 5a
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