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Simplifying -8(5 + 2a) = -5a + 26 (5 * -8 + 2a * -8) = -5a + 26 (-40 + -16a) = -5a + 26 Reorder the terms: -40 + -16a = 26 + -5a Solving -40 + -16a = 26 + -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. -40 + -16a + 5a = 26 + -5a + 5a Combine like terms: -16a + 5a = -11a -40 + -11a = 26 + -5a + 5a Combine like terms: -5a + 5a = 0 -40 + -11a = 26 + 0 -40 + -11a = 26 Add '40' to each side of the equation. -40 + 40 + -11a = 26 + 40 Combine like terms: -40 + 40 = 0 0 + -11a = 26 + 40 -11a = 26 + 40 Combine like terms: 26 + 40 = 66 -11a = 66 Divide each side by '-11'. a = -6 Simplifying a = -6
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