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Simplifying 0.7a + -2 = 0.2a + 3 Reorder the terms: -2 + 0.7a = 0.2a + 3 Reorder the terms: -2 + 0.7a = 3 + 0.2a Solving -2 + 0.7a = 3 + 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. -2 + 0.7a + -0.2a = 3 + 0.2a + -0.2a Combine like terms: 0.7a + -0.2a = 0.5a -2 + 0.5a = 3 + 0.2a + -0.2a Combine like terms: 0.2a + -0.2a = 0.0 -2 + 0.5a = 3 + 0.0 -2 + 0.5a = 3 Add '2' to each side of the equation. -2 + 2 + 0.5a = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 0.5a = 3 + 2 0.5a = 3 + 2 Combine like terms: 3 + 2 = 5 0.5a = 5 Divide each side by '0.5'. a = 10 Simplifying a = 10
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