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Simplifying 0.2(a + -4) = 0.4(3 + -2a) Reorder the terms: 0.2(-4 + a) = 0.4(3 + -2a) (-4 * 0.2 + a * 0.2) = 0.4(3 + -2a) (-0.8 + 0.2a) = 0.4(3 + -2a) -0.8 + 0.2a = (3 * 0.4 + -2a * 0.4) -0.8 + 0.2a = (1.2 + -0.8a) Solving -0.8 + 0.2a = 1.2 + -0.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.8a' to each side of the equation. -0.8 + 0.2a + 0.8a = 1.2 + -0.8a + 0.8a Combine like terms: 0.2a + 0.8a = 1a -0.8 + 1a = 1.2 + -0.8a + 0.8a Combine like terms: -0.8a + 0.8a = 0.0 -0.8 + 1a = 1.2 + 0.0 -0.8 + 1a = 1.2 Add '0.8' to each side of the equation. -0.8 + 0.8 + 1a = 1.2 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 1a = 1.2 + 0.8 1a = 1.2 + 0.8 Combine like terms: 1.2 + 0.8 = 2 1a = 2 Divide each side by '1'. a = 2 Simplifying a = 2
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