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Simplifying -24 + 8a = -5(-3a + -4) Reorder the terms: -24 + 8a = -5(-4 + -3a) -24 + 8a = (-4 * -5 + -3a * -5) -24 + 8a = (20 + 15a) Solving -24 + 8a = 20 + 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. -24 + 8a + -15a = 20 + 15a + -15a Combine like terms: 8a + -15a = -7a -24 + -7a = 20 + 15a + -15a Combine like terms: 15a + -15a = 0 -24 + -7a = 20 + 0 -24 + -7a = 20 Add '24' to each side of the equation. -24 + 24 + -7a = 20 + 24 Combine like terms: -24 + 24 = 0 0 + -7a = 20 + 24 -7a = 20 + 24 Combine like terms: 20 + 24 = 44 -7a = 44 Divide each side by '-7'. a = -6.285714286 Simplifying a = -6.285714286
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