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Simplifying 0.07(a + -35.8) = a + -22.4 Reorder the terms: 0.07(-35.8 + a) = a + -22.4 (-35.8 * 0.07 + a * 0.07) = a + -22.4 (-2.506 + 0.07a) = a + -22.4 Reorder the terms: -2.506 + 0.07a = -22.4 + a Solving -2.506 + 0.07a = -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. -2.506 + 0.07a + -1a = -22.4 + a + -1a Combine like terms: 0.07a + -1a = -0.93a -2.506 + -0.93a = -22.4 + a + -1a Combine like terms: a + -1a = 0 -2.506 + -0.93a = -22.4 + 0 -2.506 + -0.93a = -22.4 Add '2.506' to each side of the equation. -2.506 + 2.506 + -0.93a = -22.4 + 2.506 Combine like terms: -2.506 + 2.506 = 0.000 0.000 + -0.93a = -22.4 + 2.506 -0.93a = -22.4 + 2.506 Combine like terms: -22.4 + 2.506 = -19.894 -0.93a = -19.894 Divide each side by '-0.93'. a = 21.39139785 Simplifying a = 21.39139785
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