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Simplifying 23 + 8a = -6(4a + -7) Reorder the terms: 23 + 8a = -6(-7 + 4a) 23 + 8a = (-7 * -6 + 4a * -6) 23 + 8a = (42 + -24a) Solving 23 + 8a = 42 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. 23 + 8a + 24a = 42 + -24a + 24a Combine like terms: 8a + 24a = 32a 23 + 32a = 42 + -24a + 24a Combine like terms: -24a + 24a = 0 23 + 32a = 42 + 0 23 + 32a = 42 Add '-23' to each side of the equation. 23 + -23 + 32a = 42 + -23 Combine like terms: 23 + -23 = 0 0 + 32a = 42 + -23 32a = 42 + -23 Combine like terms: 42 + -23 = 19 32a = 19 Divide each side by '32'. a = 0.59375 Simplifying a = 0.59375
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