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Simplifying 0.4(a + -1b) + 0.2x = d (a * 0.4 + -1b * 0.4) + 0.2x = d (0.4a + -0.4b) + 0.2x = d Solving 0.4a + -0.4b + 0.2x = d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.4b' to each side of the equation. 0.4a + -0.4b + 0.4b + 0.2x = 0.4b + d Combine like terms: -0.4b + 0.4b = 0.0 0.4a + 0.0 + 0.2x = 0.4b + d 0.4a + 0.2x = 0.4b + d Add '-0.2x' to each side of the equation. 0.4a + 0.2x + -0.2x = 0.4b + d + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.4a + 0.0 = 0.4b + d + -0.2x 0.4a = 0.4b + d + -0.2x Divide each side by '0.4'. a = b + 2.5d + -0.5x Simplifying a = b + 2.5d + -0.5x
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