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Simplifying 8(40 + -10a) = 56a (40 * 8 + -10a * 8) = 56a (320 + -80a) = 56a Solving 320 + -80a = 56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-56a' to each side of the equation. 320 + -80a + -56a = 56a + -56a Combine like terms: -80a + -56a = -136a 320 + -136a = 56a + -56a Combine like terms: 56a + -56a = 0 320 + -136a = 0 Add '-320' to each side of the equation. 320 + -320 + -136a = 0 + -320 Combine like terms: 320 + -320 = 0 0 + -136a = 0 + -320 -136a = 0 + -320 Combine like terms: 0 + -320 = -320 -136a = -320 Divide each side by '-136'. a = 2.352941176 Simplifying a = 2.352941176
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