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Simplifying 7a + 14 + -12a = 24 + 4a + -40 Reorder the terms: 14 + 7a + -12a = 24 + 4a + -40 Combine like terms: 7a + -12a = -5a 14 + -5a = 24 + 4a + -40 Reorder the terms: 14 + -5a = 24 + -40 + 4a Combine like terms: 24 + -40 = -16 14 + -5a = -16 + 4a Solving 14 + -5a = -16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 14 + -5a + -4a = -16 + 4a + -4a Combine like terms: -5a + -4a = -9a 14 + -9a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 14 + -9a = -16 + 0 14 + -9a = -16 Add '-14' to each side of the equation. 14 + -14 + -9a = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -9a = -16 + -14 -9a = -16 + -14 Combine like terms: -16 + -14 = -30 -9a = -30 Divide each side by '-9'. a = 3.333333333 Simplifying a = 3.333333333
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