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Simplifying 0.2(a + -24) = 0.6a Reorder the terms: 0.2(-24 + a) = 0.6a (-24 * 0.2 + a * 0.2) = 0.6a (-4.8 + 0.2a) = 0.6a Solving -4.8 + 0.2a = 0.6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.6a' to each side of the equation. -4.8 + 0.2a + -0.6a = 0.6a + -0.6a Combine like terms: 0.2a + -0.6a = -0.4a -4.8 + -0.4a = 0.6a + -0.6a Combine like terms: 0.6a + -0.6a = 0.0 -4.8 + -0.4a = 0.0 Add '4.8' to each side of the equation. -4.8 + 4.8 + -0.4a = 0.0 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + -0.4a = 0.0 + 4.8 -0.4a = 0.0 + 4.8 Combine like terms: 0.0 + 4.8 = 4.8 -0.4a = 4.8 Divide each side by '-0.4'. a = -12 Simplifying a = -12
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