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Simplifying -3a + 6 + 5a = 7a + -2a Reorder the terms: 6 + -3a + 5a = 7a + -2a Combine like terms: -3a + 5a = 2a 6 + 2a = 7a + -2a Combine like terms: 7a + -2a = 5a 6 + 2a = 5a Solving 6 + 2a = 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. 6 + 2a + -5a = 5a + -5a Combine like terms: 2a + -5a = -3a 6 + -3a = 5a + -5a Combine like terms: 5a + -5a = 0 6 + -3a = 0 Add '-6' to each side of the equation. 6 + -6 + -3a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3a = 0 + -6 -3a = 0 + -6 Combine like terms: 0 + -6 = -6 -3a = -6 Divide each side by '-3'. a = 2 Simplifying a = 2
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