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Simplifying 8a + -2a + 10 = 3a + 15 Reorder the terms: 10 + 8a + -2a = 3a + 15 Combine like terms: 8a + -2a = 6a 10 + 6a = 3a + 15 Reorder the terms: 10 + 6a = 15 + 3a Solving 10 + 6a = 15 + 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. 10 + 6a + -3a = 15 + 3a + -3a Combine like terms: 6a + -3a = 3a 10 + 3a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + 3a = 15 + 0 10 + 3a = 15 Add '-10' to each side of the equation. 10 + -10 + 3a = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 3a = 15 + -10 3a = 15 + -10 Combine like terms: 15 + -10 = 5 3a = 5 Divide each side by '3'. a = 1.666666667 Simplifying a = 1.666666667
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