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Simplifying 0.75(a + -35.8) = a + -22.4 Reorder the terms: 0.75(-35.8 + a) = a + -22.4 (-35.8 * 0.75 + a * 0.75) = a + -22.4 (-26.85 + 0.75a) = a + -22.4 Reorder the terms: -26.85 + 0.75a = -22.4 + a Solving -26.85 + 0.75a = -22.4 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -26.85 + 0.75a + -1a = -22.4 + a + -1a Combine like terms: 0.75a + -1a = -0.25a -26.85 + -0.25a = -22.4 + a + -1a Combine like terms: a + -1a = 0 -26.85 + -0.25a = -22.4 + 0 -26.85 + -0.25a = -22.4 Add '26.85' to each side of the equation. -26.85 + 26.85 + -0.25a = -22.4 + 26.85 Combine like terms: -26.85 + 26.85 = 0.00 0.00 + -0.25a = -22.4 + 26.85 -0.25a = -22.4 + 26.85 Combine like terms: -22.4 + 26.85 = 4.45 -0.25a = 4.45 Divide each side by '-0.25'. a = -17.8 Simplifying a = -17.8
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