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Simplifying 7(6 + -24a) = 5(-3a + 1) (6 * 7 + -24a * 7) = 5(-3a + 1) (42 + -168a) = 5(-3a + 1) Reorder the terms: 42 + -168a = 5(1 + -3a) 42 + -168a = (1 * 5 + -3a * 5) 42 + -168a = (5 + -15a) Solving 42 + -168a = 5 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 42 + -168a + 15a = 5 + -15a + 15a Combine like terms: -168a + 15a = -153a 42 + -153a = 5 + -15a + 15a Combine like terms: -15a + 15a = 0 42 + -153a = 5 + 0 42 + -153a = 5 Add '-42' to each side of the equation. 42 + -42 + -153a = 5 + -42 Combine like terms: 42 + -42 = 0 0 + -153a = 5 + -42 -153a = 5 + -42 Combine like terms: 5 + -42 = -37 -153a = -37 Divide each side by '-153'. a = 0.2418300654 Simplifying a = 0.2418300654
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