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Simplifying -24.5 = -5(8.5a + -8) Reorder the terms: -24.5 = -5(-8 + 8.5a) -24.5 = (-8 * -5 + 8.5a * -5) -24.5 = (40 + -42.5a) Solving -24.5 = 40 + -42.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42.5a' to each side of the equation. -24.5 + 42.5a = 40 + -42.5a + 42.5a Combine like terms: -42.5a + 42.5a = 0.0 -24.5 + 42.5a = 40 + 0.0 -24.5 + 42.5a = 40 Add '24.5' to each side of the equation. -24.5 + 24.5 + 42.5a = 40 + 24.5 Combine like terms: -24.5 + 24.5 = 0.0 0.0 + 42.5a = 40 + 24.5 42.5a = 40 + 24.5 Combine like terms: 40 + 24.5 = 64.5 42.5a = 64.5 Divide each side by '42.5'. a = 1.517647059 Simplifying a = 1.517647059
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