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Simplifying 0.2(a + -16) = 0.4a Reorder the terms: 0.2(-16 + a) = 0.4a (-16 * 0.2 + a * 0.2) = 0.4a (-3.2 + 0.2a) = 0.4a Solving -3.2 + 0.2a = 0.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.4a' to each side of the equation. -3.2 + 0.2a + -0.4a = 0.4a + -0.4a Combine like terms: 0.2a + -0.4a = -0.2a -3.2 + -0.2a = 0.4a + -0.4a Combine like terms: 0.4a + -0.4a = 0.0 -3.2 + -0.2a = 0.0 Add '3.2' to each side of the equation. -3.2 + 3.2 + -0.2a = 0.0 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + -0.2a = 0.0 + 3.2 -0.2a = 0.0 + 3.2 Combine like terms: 0.0 + 3.2 = 3.2 -0.2a = 3.2 Divide each side by '-0.2'. a = -16 Simplifying a = -16
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