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Simplifying 12 + -0.4a = 0.6a + -12 Reorder the terms: 12 + -0.4a = -12 + 0.6a Solving 12 + -0.4a = -12 + 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. 12 + -0.4a + -0.6a = -12 + 0.6a + -0.6a Combine like terms: -0.4a + -0.6a = -1a 12 + -1a = -12 + 0.6a + -0.6a Combine like terms: 0.6a + -0.6a = 0.0 12 + -1a = -12 + 0.0 12 + -1a = -12 Add '-12' to each side of the equation. 12 + -12 + -1a = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = -12 + -12 -1a = -12 + -12 Combine like terms: -12 + -12 = -24 -1a = -24 Divide each side by '-1'. a = 24 Simplifying a = 24
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