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Simplifying 0.08(3a + -5) + -0.04(4a + -3) = 0.2 Reorder the terms: 0.08(-5 + 3a) + -0.04(4a + -3) = 0.2 (-5 * 0.08 + 3a * 0.08) + -0.04(4a + -3) = 0.2 (-0.4 + 0.24a) + -0.04(4a + -3) = 0.2 Reorder the terms: -0.4 + 0.24a + -0.04(-3 + 4a) = 0.2 -0.4 + 0.24a + (-3 * -0.04 + 4a * -0.04) = 0.2 -0.4 + 0.24a + (0.12 + -0.16a) = 0.2 Reorder the terms: -0.4 + 0.12 + 0.24a + -0.16a = 0.2 Combine like terms: -0.4 + 0.12 = -0.28 -0.28 + 0.24a + -0.16a = 0.2 Combine like terms: 0.24a + -0.16a = 0.08a -0.28 + 0.08a = 0.2 Solving -0.28 + 0.08a = 0.2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.28' to each side of the equation. -0.28 + 0.28 + 0.08a = 0.2 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 0.08a = 0.2 + 0.28 0.08a = 0.2 + 0.28 Combine like terms: 0.2 + 0.28 = 0.48 0.08a = 0.48 Divide each side by '0.08'. a = 6 Simplifying a = 6
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