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Simplifying 12a + -8 = 15a + -14 Reorder the terms: -8 + 12a = 15a + -14 Reorder the terms: -8 + 12a = -14 + 15a Solving -8 + 12a = -14 + 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. -8 + 12a + -15a = -14 + 15a + -15a Combine like terms: 12a + -15a = -3a -8 + -3a = -14 + 15a + -15a Combine like terms: 15a + -15a = 0 -8 + -3a = -14 + 0 -8 + -3a = -14 Add '8' to each side of the equation. -8 + 8 + -3a = -14 + 8 Combine like terms: -8 + 8 = 0 0 + -3a = -14 + 8 -3a = -14 + 8 Combine like terms: -14 + 8 = -6 -3a = -6 Divide each side by '-3'. a = 2 Simplifying a = 2
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