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Simplifying -3(a + -5) = 27 + a Reorder the terms: -3(-5 + a) = 27 + a (-5 * -3 + a * -3) = 27 + a (15 + -3a) = 27 + a Solving 15 + -3a = 27 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 15 + -3a + -1a = 27 + a + -1a Combine like terms: -3a + -1a = -4a 15 + -4a = 27 + a + -1a Combine like terms: a + -1a = 0 15 + -4a = 27 + 0 15 + -4a = 27 Add '-15' to each side of the equation. 15 + -15 + -4a = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -4a = 27 + -15 -4a = 27 + -15 Combine like terms: 27 + -15 = 12 -4a = 12 Divide each side by '-4'. a = -3 Simplifying a = -3
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