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Simplifying -27 + -6a = -3a + -6(a + 1) Reorder the terms: -27 + -6a = -3a + -6(1 + a) -27 + -6a = -3a + (1 * -6 + a * -6) -27 + -6a = -3a + (-6 + -6a) Reorder the terms: -27 + -6a = -6 + -3a + -6a Combine like terms: -3a + -6a = -9a -27 + -6a = -6 + -9a Solving -27 + -6a = -6 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -27 + -6a + 9a = -6 + -9a + 9a Combine like terms: -6a + 9a = 3a -27 + 3a = -6 + -9a + 9a Combine like terms: -9a + 9a = 0 -27 + 3a = -6 + 0 -27 + 3a = -6 Add '27' to each side of the equation. -27 + 27 + 3a = -6 + 27 Combine like terms: -27 + 27 = 0 0 + 3a = -6 + 27 3a = -6 + 27 Combine like terms: -6 + 27 = 21 3a = 21 Divide each side by '3'. a = 7 Simplifying a = 7
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