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Simplifying 0.5 + 0.7(40 + -1a) = 24.8 0.5 + (40 * 0.7 + -1a * 0.7) = 24.8 0.5 + (28 + -0.7a) = 24.8 Combine like terms: 0.5 + 28 = 28.5 28.5 + -0.7a = 24.8 Solving 28.5 + -0.7a = 24.8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28.5' to each side of the equation. 28.5 + -28.5 + -0.7a = 24.8 + -28.5 Combine like terms: 28.5 + -28.5 = 0.0 0.0 + -0.7a = 24.8 + -28.5 -0.7a = 24.8 + -28.5 Combine like terms: 24.8 + -28.5 = -3.7 -0.7a = -3.7 Divide each side by '-0.7'. a = 5.285714286 Simplifying a = 5.285714286
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