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Simplifying 6a + 12 + -7 = 3a + 10 Reorder the terms: 12 + -7 + 6a = 3a + 10 Combine like terms: 12 + -7 = 5 5 + 6a = 3a + 10 Reorder the terms: 5 + 6a = 10 + 3a Solving 5 + 6a = 10 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 5 + 6a + -3a = 10 + 3a + -3a Combine like terms: 6a + -3a = 3a 5 + 3a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 5 + 3a = 10 + 0 5 + 3a = 10 Add '-5' to each side of the equation. 5 + -5 + 3a = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 10 + -5 3a = 10 + -5 Combine like terms: 10 + -5 = 5 3a = 5 Divide each side by '3'. a = 1.666666667 Simplifying a = 1.666666667
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