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Simplifying 6a + -27 = -3(2 + 5a) Reorder the terms: -27 + 6a = -3(2 + 5a) -27 + 6a = (2 * -3 + 5a * -3) -27 + 6a = (-6 + -15a) Solving -27 + 6a = -6 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. -27 + 6a + 15a = -6 + -15a + 15a Combine like terms: 6a + 15a = 21a -27 + 21a = -6 + -15a + 15a Combine like terms: -15a + 15a = 0 -27 + 21a = -6 + 0 -27 + 21a = -6 Add '27' to each side of the equation. -27 + 27 + 21a = -6 + 27 Combine like terms: -27 + 27 = 0 0 + 21a = -6 + 27 21a = -6 + 27 Combine like terms: -6 + 27 = 21 21a = 21 Divide each side by '21'. a = 1 Simplifying a = 1
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