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Simplifying 5a + -27 = 6(5 + -1a) Reorder the terms: -27 + 5a = 6(5 + -1a) -27 + 5a = (5 * 6 + -1a * 6) -27 + 5a = (30 + -6a) Solving -27 + 5a = 30 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -27 + 5a + 6a = 30 + -6a + 6a Combine like terms: 5a + 6a = 11a -27 + 11a = 30 + -6a + 6a Combine like terms: -6a + 6a = 0 -27 + 11a = 30 + 0 -27 + 11a = 30 Add '27' to each side of the equation. -27 + 27 + 11a = 30 + 27 Combine like terms: -27 + 27 = 0 0 + 11a = 30 + 27 11a = 30 + 27 Combine like terms: 30 + 27 = 57 11a = 57 Divide each side by '11'. a = 5.181818182 Simplifying a = 5.181818182
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