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Simplifying -1(5a + 5) = 2(3a + 8) Reorder the terms: -1(5 + 5a) = 2(3a + 8) (5 * -1 + 5a * -1) = 2(3a + 8) (-5 + -5a) = 2(3a + 8) Reorder the terms: -5 + -5a = 2(8 + 3a) -5 + -5a = (8 * 2 + 3a * 2) -5 + -5a = (16 + 6a) Solving -5 + -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. -5 + -5a + -6a = 16 + 6a + -6a Combine like terms: -5a + -6a = -11a -5 + -11a = 16 + 6a + -6a Combine like terms: 6a + -6a = 0 -5 + -11a = 16 + 0 -5 + -11a = 16 Add '5' to each side of the equation. -5 + 5 + -11a = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -11a = 16 + 5 -11a = 16 + 5 Combine like terms: 16 + 5 = 21 -11a = 21 Divide each side by '-11'. a = -1.909090909 Simplifying a = -1.909090909
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