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Simplifying 4a + -1 + a + 7 = 2a + 10 + -2 Reorder the terms: -1 + 7 + 4a + a = 2a + 10 + -2 Combine like terms: -1 + 7 = 6 6 + 4a + a = 2a + 10 + -2 Combine like terms: 4a + a = 5a 6 + 5a = 2a + 10 + -2 Reorder the terms: 6 + 5a = 10 + -2 + 2a Combine like terms: 10 + -2 = 8 6 + 5a = 8 + 2a Solving 6 + 5a = 8 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 6 + 5a + -2a = 8 + 2a + -2a Combine like terms: 5a + -2a = 3a 6 + 3a = 8 + 2a + -2a Combine like terms: 2a + -2a = 0 6 + 3a = 8 + 0 6 + 3a = 8 Add '-6' to each side of the equation. 6 + -6 + 3a = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 3a = 8 + -6 3a = 8 + -6 Combine like terms: 8 + -6 = 2 3a = 2 Divide each side by '3'. a = 0.6666666667 Simplifying a = 0.6666666667
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