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Simplifying 12a + 10 + -3a = 15a + -2 Reorder the terms: 10 + 12a + -3a = 15a + -2 Combine like terms: 12a + -3a = 9a 10 + 9a = 15a + -2 Reorder the terms: 10 + 9a = -2 + 15a Solving 10 + 9a = -2 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 10 + 9a + -15a = -2 + 15a + -15a Combine like terms: 9a + -15a = -6a 10 + -6a = -2 + 15a + -15a Combine like terms: 15a + -15a = 0 10 + -6a = -2 + 0 10 + -6a = -2 Add '-10' to each side of the equation. 10 + -10 + -6a = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -6a = -2 + -10 -6a = -2 + -10 Combine like terms: -2 + -10 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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