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Simplifying 5a + 14 = -12a Reorder the terms: 14 + 5a = -12a Solving 14 + 5a = -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. 14 + 5a + 12a = -12a + 12a Combine like terms: 5a + 12a = 17a 14 + 17a = -12a + 12a Combine like terms: -12a + 12a = 0 14 + 17a = 0 Add '-14' to each side of the equation. 14 + -14 + 17a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 17a = 0 + -14 17a = 0 + -14 Combine like terms: 0 + -14 = -14 17a = -14 Divide each side by '17'. a = -0.8235294118 Simplifying a = -0.8235294118
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