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Simplifying -2(3a + 8) = 5(a + -1) Reorder the terms: -2(8 + 3a) = 5(a + -1) (8 * -2 + 3a * -2) = 5(a + -1) (-16 + -6a) = 5(a + -1) Reorder the terms: -16 + -6a = 5(-1 + a) -16 + -6a = (-1 * 5 + a * 5) -16 + -6a = (-5 + 5a) Solving -16 + -6a = -5 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -16 + -6a + -5a = -5 + 5a + -5a Combine like terms: -6a + -5a = -11a -16 + -11a = -5 + 5a + -5a Combine like terms: 5a + -5a = 0 -16 + -11a = -5 + 0 -16 + -11a = -5 Add '16' to each side of the equation. -16 + 16 + -11a = -5 + 16 Combine like terms: -16 + 16 = 0 0 + -11a = -5 + 16 -11a = -5 + 16 Combine like terms: -5 + 16 = 11 -11a = 11 Divide each side by '-11'. a = -1 Simplifying a = -1
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