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Simplifying 0.75(a + -35.8) = 9 + -22.4 Reorder the terms: 0.75(-35.8 + a) = 9 + -22.4 (-35.8 * 0.75 + a * 0.75) = 9 + -22.4 (-26.85 + 0.75a) = 9 + -22.4 Combine like terms: 9 + -22.4 = -13.4 -26.85 + 0.75a = -13.4 Solving -26.85 + 0.75a = -13.4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '26.85' to each side of the equation. -26.85 + 26.85 + 0.75a = -13.4 + 26.85 Combine like terms: -26.85 + 26.85 = 0.00 0.00 + 0.75a = -13.4 + 26.85 0.75a = -13.4 + 26.85 Combine like terms: -13.4 + 26.85 = 13.45 0.75a = 13.45 Divide each side by '0.75'. a = 17.93333333 Simplifying a = 17.93333333
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