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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 = -10 1a = -10 Divide each side by '1'. a = -10 Simplifying a = -10
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