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Simplifying a + 27 = 15 + -4a Reorder the terms: 27 + a = 15 + -4a Solving 27 + a = 15 + -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. 27 + a + 4a = 15 + -4a + 4a Combine like terms: a + 4a = 5a 27 + 5a = 15 + -4a + 4a Combine like terms: -4a + 4a = 0 27 + 5a = 15 + 0 27 + 5a = 15 Add '-27' to each side of the equation. 27 + -27 + 5a = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 5a = 15 + -27 5a = 15 + -27 Combine like terms: 15 + -27 = -12 5a = -12 Divide each side by '5'. a = -2.4 Simplifying a = -2.4
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