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Simplifying -5a + -27 = -6(2a + 10) Reorder the terms: -27 + -5a = -6(2a + 10) Reorder the terms: -27 + -5a = -6(10 + 2a) -27 + -5a = (10 * -6 + 2a * -6) -27 + -5a = (-60 + -12a) Solving -27 + -5a = -60 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -27 + -5a + 12a = -60 + -12a + 12a Combine like terms: -5a + 12a = 7a -27 + 7a = -60 + -12a + 12a Combine like terms: -12a + 12a = 0 -27 + 7a = -60 + 0 -27 + 7a = -60 Add '27' to each side of the equation. -27 + 27 + 7a = -60 + 27 Combine like terms: -27 + 27 = 0 0 + 7a = -60 + 27 7a = -60 + 27 Combine like terms: -60 + 27 = -33 7a = -33 Divide each side by '7'. a = -4.714285714 Simplifying a = -4.714285714
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