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Simplifying -1(a + 1) = 5a + 5 Reorder the terms: -1(1 + a) = 5a + 5 (1 * -1 + a * -1) = 5a + 5 (-1 + -1a) = 5a + 5 Reorder the terms: -1 + -1a = 5 + 5a Solving -1 + -1a = 5 + 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. -1 + -1a + -5a = 5 + 5a + -5a Combine like terms: -1a + -5a = -6a -1 + -6a = 5 + 5a + -5a Combine like terms: 5a + -5a = 0 -1 + -6a = 5 + 0 -1 + -6a = 5 Add '1' to each side of the equation. -1 + 1 + -6a = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -6a = 5 + 1 -6a = 5 + 1 Combine like terms: 5 + 1 = 6 -6a = 6 Divide each side by '-6'. a = -1 Simplifying a = -1
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