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Simplifying -1(5a + 6) = 2(2a + 8) Reorder the terms: -1(6 + 5a) = 2(2a + 8) (6 * -1 + 5a * -1) = 2(2a + 8) (-6 + -5a) = 2(2a + 8) Reorder the terms: -6 + -5a = 2(8 + 2a) -6 + -5a = (8 * 2 + 2a * 2) -6 + -5a = (16 + 4a) Solving -6 + -5a = 16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -6 + -5a + -4a = 16 + 4a + -4a Combine like terms: -5a + -4a = -9a -6 + -9a = 16 + 4a + -4a Combine like terms: 4a + -4a = 0 -6 + -9a = 16 + 0 -6 + -9a = 16 Add '6' to each side of the equation. -6 + 6 + -9a = 16 + 6 Combine like terms: -6 + 6 = 0 0 + -9a = 16 + 6 -9a = 16 + 6 Combine like terms: 16 + 6 = 22 -9a = 22 Divide each side by '-9'. a = -2.444444444 Simplifying a = -2.444444444
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