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Simplifying -4(5a + -2) + 8 = -26 + -6a Reorder the terms: -4(-2 + 5a) + 8 = -26 + -6a (-2 * -4 + 5a * -4) + 8 = -26 + -6a (8 + -20a) + 8 = -26 + -6a Reorder the terms: 8 + 8 + -20a = -26 + -6a Combine like terms: 8 + 8 = 16 16 + -20a = -26 + -6a Solving 16 + -20a = -26 + -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. 16 + -20a + 6a = -26 + -6a + 6a Combine like terms: -20a + 6a = -14a 16 + -14a = -26 + -6a + 6a Combine like terms: -6a + 6a = 0 16 + -14a = -26 + 0 16 + -14a = -26 Add '-16' to each side of the equation. 16 + -16 + -14a = -26 + -16 Combine like terms: 16 + -16 = 0 0 + -14a = -26 + -16 -14a = -26 + -16 Combine like terms: -26 + -16 = -42 -14a = -42 Divide each side by '-14'. a = 3 Simplifying a = 3
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