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Simplifying -1(-5a + 6) = 2(3a + 8) Reorder the terms: -1(6 + -5a) = 2(3a + 8) (6 * -1 + -5a * -1) = 2(3a + 8) (-6 + 5a) = 2(3a + 8) Reorder the terms: -6 + 5a = 2(8 + 3a) -6 + 5a = (8 * 2 + 3a * 2) -6 + 5a = (16 + 6a) Solving -6 + 5a = 16 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -6 + 5a + -6a = 16 + 6a + -6a Combine like terms: 5a + -6a = -1a -6 + -1a = 16 + 6a + -6a Combine like terms: 6a + -6a = 0 -6 + -1a = 16 + 0 -6 + -1a = 16 Add '6' to each side of the equation. -6 + 6 + -1a = 16 + 6 Combine like terms: -6 + 6 = 0 0 + -1a = 16 + 6 -1a = 16 + 6 Combine like terms: 16 + 6 = 22 -1a = 22 Divide each side by '-1'. a = -22 Simplifying a = -22
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