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Simplifying -6(1 + a) = -8a + -20 (1 * -6 + a * -6) = -8a + -20 (-6 + -6a) = -8a + -20 Reorder the terms: -6 + -6a = -20 + -8a Solving -6 + -6a = -20 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -6 + -6a + 8a = -20 + -8a + 8a Combine like terms: -6a + 8a = 2a -6 + 2a = -20 + -8a + 8a Combine like terms: -8a + 8a = 0 -6 + 2a = -20 + 0 -6 + 2a = -20 Add '6' to each side of the equation. -6 + 6 + 2a = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 2a = -20 + 6 2a = -20 + 6 Combine like terms: -20 + 6 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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