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Simplifying 0.6a + -4 = 0.2a + -5 Reorder the terms: -4 + 0.6a = 0.2a + -5 Reorder the terms: -4 + 0.6a = -5 + 0.2a Solving -4 + 0.6a = -5 + 0.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.2a' to each side of the equation. -4 + 0.6a + -0.2a = -5 + 0.2a + -0.2a Combine like terms: 0.6a + -0.2a = 0.4a -4 + 0.4a = -5 + 0.2a + -0.2a Combine like terms: 0.2a + -0.2a = 0.0 -4 + 0.4a = -5 + 0.0 -4 + 0.4a = -5 Add '4' to each side of the equation. -4 + 4 + 0.4a = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 0.4a = -5 + 4 0.4a = -5 + 4 Combine like terms: -5 + 4 = -1 0.4a = -1 Divide each side by '0.4'. a = -2.5 Simplifying a = -2.5
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