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Simplifying 3a + -27 = 5a + 12a Reorder the terms: -27 + 3a = 5a + 12a Combine like terms: 5a + 12a = 17a -27 + 3a = 17a Solving -27 + 3a = 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. -27 + 3a + -17a = 17a + -17a Combine like terms: 3a + -17a = -14a -27 + -14a = 17a + -17a Combine like terms: 17a + -17a = 0 -27 + -14a = 0 Add '27' to each side of the equation. -27 + 27 + -14a = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -14a = 0 + 27 -14a = 0 + 27 Combine like terms: 0 + 27 = 27 -14a = 27 Divide each side by '-14'. a = -1.928571429 Simplifying a = -1.928571429
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