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Simplifying 15a + 10 = 12a + 14 Reorder the terms: 10 + 15a = 12a + 14 Reorder the terms: 10 + 15a = 14 + 12a Solving 10 + 15a = 14 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 10 + 15a + -12a = 14 + 12a + -12a Combine like terms: 15a + -12a = 3a 10 + 3a = 14 + 12a + -12a Combine like terms: 12a + -12a = 0 10 + 3a = 14 + 0 10 + 3a = 14 Add '-10' to each side of the equation. 10 + -10 + 3a = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 3a = 14 + -10 3a = 14 + -10 Combine like terms: 14 + -10 = 4 3a = 4 Divide each side by '3'. a = 1.333333333 Simplifying a = 1.333333333
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