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Simplifying -1(5 + 5a) + -6a = -7a + 27 (5 * -1 + 5a * -1) + -6a = -7a + 27 (-5 + -5a) + -6a = -7a + 27 Combine like terms: -5a + -6a = -11a -5 + -11a = -7a + 27 Reorder the terms: -5 + -11a = 27 + -7a Solving -5 + -11a = 27 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -5 + -11a + 7a = 27 + -7a + 7a Combine like terms: -11a + 7a = -4a -5 + -4a = 27 + -7a + 7a Combine like terms: -7a + 7a = 0 -5 + -4a = 27 + 0 -5 + -4a = 27 Add '5' to each side of the equation. -5 + 5 + -4a = 27 + 5 Combine like terms: -5 + 5 = 0 0 + -4a = 27 + 5 -4a = 27 + 5 Combine like terms: 27 + 5 = 32 -4a = 32 Divide each side by '-4'. a = -8 Simplifying a = -8
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