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Simplifying -2(12a + -8) = -5(a + 8) + -5a Reorder the terms: -2(-8 + 12a) = -5(a + 8) + -5a (-8 * -2 + 12a * -2) = -5(a + 8) + -5a (16 + -24a) = -5(a + 8) + -5a Reorder the terms: 16 + -24a = -5(8 + a) + -5a 16 + -24a = (8 * -5 + a * -5) + -5a 16 + -24a = (-40 + -5a) + -5a Combine like terms: -5a + -5a = -10a 16 + -24a = -40 + -10a Solving 16 + -24a = -40 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 16 + -24a + 10a = -40 + -10a + 10a Combine like terms: -24a + 10a = -14a 16 + -14a = -40 + -10a + 10a Combine like terms: -10a + 10a = 0 16 + -14a = -40 + 0 16 + -14a = -40 Add '-16' to each side of the equation. 16 + -16 + -14a = -40 + -16 Combine like terms: 16 + -16 = 0 0 + -14a = -40 + -16 -14a = -40 + -16 Combine like terms: -40 + -16 = -56 -14a = -56 Divide each side by '-14'. a = 4 Simplifying a = 4
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