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Simplifying -21.5 = -8(2.5a + 9.5) Reorder the terms: -21.5 = -8(9.5 + 2.5a) -21.5 = (9.5 * -8 + 2.5a * -8) -21.5 = (-76 + -20a) Solving -21.5 = -76 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. -21.5 + 20a = -76 + -20a + 20a Combine like terms: -20a + 20a = 0 -21.5 + 20a = -76 + 0 -21.5 + 20a = -76 Add '21.5' to each side of the equation. -21.5 + 21.5 + 20a = -76 + 21.5 Combine like terms: -21.5 + 21.5 = 0.0 0.0 + 20a = -76 + 21.5 20a = -76 + 21.5 Combine like terms: -76 + 21.5 = -54.5 20a = -54.5 Divide each side by '20'. a = -2.725 Simplifying a = -2.725
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