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Simplifying 7a + 10 + -4a = 6a + 2 Reorder the terms: 10 + 7a + -4a = 6a + 2 Combine like terms: 7a + -4a = 3a 10 + 3a = 6a + 2 Reorder the terms: 10 + 3a = 2 + 6a Solving 10 + 3a = 2 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 10 + 3a + -6a = 2 + 6a + -6a Combine like terms: 3a + -6a = -3a 10 + -3a = 2 + 6a + -6a Combine like terms: 6a + -6a = 0 10 + -3a = 2 + 0 10 + -3a = 2 Add '-10' to each side of the equation. 10 + -10 + -3a = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = 2 + -10 -3a = 2 + -10 Combine like terms: 2 + -10 = -8 -3a = -8 Divide each side by '-3'. a = 2.666666667 Simplifying a = 2.666666667
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