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Simplifying 4a + 5 + 6a + -2 = 1 + 3a + 6 + 4a Reorder the terms: 5 + -2 + 4a + 6a = 1 + 3a + 6 + 4a Combine like terms: 5 + -2 = 3 3 + 4a + 6a = 1 + 3a + 6 + 4a Combine like terms: 4a + 6a = 10a 3 + 10a = 1 + 3a + 6 + 4a Reorder the terms: 3 + 10a = 1 + 6 + 3a + 4a Combine like terms: 1 + 6 = 7 3 + 10a = 7 + 3a + 4a Combine like terms: 3a + 4a = 7a 3 + 10a = 7 + 7a Solving 3 + 10a = 7 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 3 + 10a + -7a = 7 + 7a + -7a Combine like terms: 10a + -7a = 3a 3 + 3a = 7 + 7a + -7a Combine like terms: 7a + -7a = 0 3 + 3a = 7 + 0 3 + 3a = 7 Add '-3' to each side of the equation. 3 + -3 + 3a = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 3a = 7 + -3 3a = 7 + -3 Combine like terms: 7 + -3 = 4 3a = 4 Divide each side by '3'. a = 1.333333333 Simplifying a = 1.333333333
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