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Simplifying 5a + 12 + 9a = 2a + -4a Reorder the terms: 12 + 5a + 9a = 2a + -4a Combine like terms: 5a + 9a = 14a 12 + 14a = 2a + -4a Combine like terms: 2a + -4a = -2a 12 + 14a = -2a Solving 12 + 14a = -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 12 + 14a + 2a = -2a + 2a Combine like terms: 14a + 2a = 16a 12 + 16a = -2a + 2a Combine like terms: -2a + 2a = 0 12 + 16a = 0 Add '-12' to each side of the equation. 12 + -12 + 16a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 16a = 0 + -12 16a = 0 + -12 Combine like terms: 0 + -12 = -12 16a = -12 Divide each side by '16'. a = -0.75 Simplifying a = -0.75
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