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Simplifying 2.5 + -8(1 + -5a) = -20.5 2.5 + (1 * -8 + -5a * -8) = -20.5 2.5 + (-8 + 40a) = -20.5 Combine like terms: 2.5 + -8 = -5.5 -5.5 + 40a = -20.5 Solving -5.5 + 40a = -20.5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5.5' to each side of the equation. -5.5 + 5.5 + 40a = -20.5 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 40a = -20.5 + 5.5 40a = -20.5 + 5.5 Combine like terms: -20.5 + 5.5 = -15 40a = -15 Divide each side by '40'. a = -0.375 Simplifying a = -0.375
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