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Simplifying -27 + 6a = 5(a + -7) Reorder the terms: -27 + 6a = 5(-7 + a) -27 + 6a = (-7 * 5 + a * 5) -27 + 6a = (-35 + 5a) Solving -27 + 6a = -35 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -27 + 6a + -5a = -35 + 5a + -5a Combine like terms: 6a + -5a = 1a -27 + 1a = -35 + 5a + -5a Combine like terms: 5a + -5a = 0 -27 + 1a = -35 + 0 -27 + 1a = -35 Add '27' to each side of the equation. -27 + 27 + 1a = -35 + 27 Combine like terms: -27 + 27 = 0 0 + 1a = -35 + 27 1a = -35 + 27 Combine like terms: -35 + 27 = -8 1a = -8 Divide each side by '1'. a = -8 Simplifying a = -8
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