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Simplifying 4a + 2 + -2a = 10 + 3a + -9 Reorder the terms: 2 + 4a + -2a = 10 + 3a + -9 Combine like terms: 4a + -2a = 2a 2 + 2a = 10 + 3a + -9 Reorder the terms: 2 + 2a = 10 + -9 + 3a Combine like terms: 10 + -9 = 1 2 + 2a = 1 + 3a Solving 2 + 2a = 1 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 2 + 2a + -3a = 1 + 3a + -3a Combine like terms: 2a + -3a = -1a 2 + -1a = 1 + 3a + -3a Combine like terms: 3a + -3a = 0 2 + -1a = 1 + 0 2 + -1a = 1 Add '-2' to each side of the equation. 2 + -2 + -1a = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 1 + -2 -1a = 1 + -2 Combine like terms: 1 + -2 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1
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