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Simplifying 6a + -4a + 5 = 7a + -2a Reorder the terms: 5 + 6a + -4a = 7a + -2a Combine like terms: 6a + -4a = 2a 5 + 2a = 7a + -2a Combine like terms: 7a + -2a = 5a 5 + 2a = 5a Solving 5 + 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. 5 + 2a + -5a = 5a + -5a Combine like terms: 2a + -5a = -3a 5 + -3a = 5a + -5a Combine like terms: 5a + -5a = 0 5 + -3a = 0 Add '-5' to each side of the equation. 5 + -5 + -3a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3a = 0 + -5 -3a = 0 + -5 Combine like terms: 0 + -5 = -5 -3a = -5 Divide each side by '-3'. a = 1.666666667 Simplifying a = 1.666666667
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