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Simplifying -1(-2a + 6) + 5a = -5 + 8a Reorder the terms: -1(6 + -2a) + 5a = -5 + 8a (6 * -1 + -2a * -1) + 5a = -5 + 8a (-6 + 2a) + 5a = -5 + 8a Combine like terms: 2a + 5a = 7a -6 + 7a = -5 + 8a Solving -6 + 7a = -5 + 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 + 7a + -8a = -5 + 8a + -8a Combine like terms: 7a + -8a = -1a -6 + -1a = -5 + 8a + -8a Combine like terms: 8a + -8a = 0 -6 + -1a = -5 + 0 -6 + -1a = -5 Add '6' to each side of the equation. -6 + 6 + -1a = -5 + 6 Combine like terms: -6 + 6 = 0 0 + -1a = -5 + 6 -1a = -5 + 6 Combine like terms: -5 + 6 = 1 -1a = 1 Divide each side by '-1'. a = -1 Simplifying a = -1
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