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Simplifying 6(5 + 3a) = 32(6 + -8a) + 5a (5 * 6 + 3a * 6) = 32(6 + -8a) + 5a (30 + 18a) = 32(6 + -8a) + 5a 30 + 18a = (6 * 32 + -8a * 32) + 5a 30 + 18a = (192 + -256a) + 5a Combine like terms: -256a + 5a = -251a 30 + 18a = 192 + -251a Solving 30 + 18a = 192 + -251a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '251a' to each side of the equation. 30 + 18a + 251a = 192 + -251a + 251a Combine like terms: 18a + 251a = 269a 30 + 269a = 192 + -251a + 251a Combine like terms: -251a + 251a = 0 30 + 269a = 192 + 0 30 + 269a = 192 Add '-30' to each side of the equation. 30 + -30 + 269a = 192 + -30 Combine like terms: 30 + -30 = 0 0 + 269a = 192 + -30 269a = 192 + -30 Combine like terms: 192 + -30 = 162 269a = 162 Divide each side by '269'. a = 0.6022304833 Simplifying a = 0.6022304833
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