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Simplifying 0.20(a + -4) = 0.67a + 1.33 Reorder the terms: 0.20(-4 + a) = 0.67a + 1.33 (-4 * 0.20 + a * 0.20) = 0.67a + 1.33 (-0.8 + 0.20a) = 0.67a + 1.33 Reorder the terms: -0.8 + 0.20a = 1.33 + 0.67a Solving -0.8 + 0.20a = 1.33 + 0.67a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.67a' to each side of the equation. -0.8 + 0.20a + -0.67a = 1.33 + 0.67a + -0.67a Combine like terms: 0.20a + -0.67a = -0.47a -0.8 + -0.47a = 1.33 + 0.67a + -0.67a Combine like terms: 0.67a + -0.67a = 0.00 -0.8 + -0.47a = 1.33 + 0.00 -0.8 + -0.47a = 1.33 Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.47a = 1.33 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.47a = 1.33 + 0.8 -0.47a = 1.33 + 0.8 Combine like terms: 1.33 + 0.8 = 2.13 -0.47a = 2.13 Divide each side by '-0.47'. a = -4.531914894 Simplifying a = -4.531914894
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