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Simplifying 4a + -2 + -2a = 3a + 5 + 6a Reorder the terms: -2 + 4a + -2a = 3a + 5 + 6a Combine like terms: 4a + -2a = 2a -2 + 2a = 3a + 5 + 6a Reorder the terms: -2 + 2a = 5 + 3a + 6a Combine like terms: 3a + 6a = 9a -2 + 2a = 5 + 9a Solving -2 + 2a = 5 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -2 + 2a + -9a = 5 + 9a + -9a Combine like terms: 2a + -9a = -7a -2 + -7a = 5 + 9a + -9a Combine like terms: 9a + -9a = 0 -2 + -7a = 5 + 0 -2 + -7a = 5 Add '2' to each side of the equation. -2 + 2 + -7a = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -7a = 5 + 2 -7a = 5 + 2 Combine like terms: 5 + 2 = 7 -7a = 7 Divide each side by '-7'. a = -1 Simplifying a = -1
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