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Simplifying 0.4(a + -24) = 0.8a Reorder the terms: 0.4(-24 + a) = 0.8a (-24 * 0.4 + a * 0.4) = 0.8a (-9.6 + 0.4a) = 0.8a Solving -9.6 + 0.4a = 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. -9.6 + 0.4a + -0.8a = 0.8a + -0.8a Combine like terms: 0.4a + -0.8a = -0.4a -9.6 + -0.4a = 0.8a + -0.8a Combine like terms: 0.8a + -0.8a = 0.0 -9.6 + -0.4a = 0.0 Add '9.6' to each side of the equation. -9.6 + 9.6 + -0.4a = 0.0 + 9.6 Combine like terms: -9.6 + 9.6 = 0.0 0.0 + -0.4a = 0.0 + 9.6 -0.4a = 0.0 + 9.6 Combine like terms: 0.0 + 9.6 = 9.6 -0.4a = 9.6 Divide each side by '-0.4'. a = -24 Simplifying a = -24
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