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Simplifying 0.5(4a + 7) = 206 + -3a Reorder the terms: 0.5(7 + 4a) = 206 + -3a (7 * 0.5 + 4a * 0.5) = 206 + -3a (3.5 + 2a) = 206 + -3a Solving 3.5 + 2a = 206 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 3.5 + 2a + 3a = 206 + -3a + 3a Combine like terms: 2a + 3a = 5a 3.5 + 5a = 206 + -3a + 3a Combine like terms: -3a + 3a = 0 3.5 + 5a = 206 + 0 3.5 + 5a = 206 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 5a = 206 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 5a = 206 + -3.5 5a = 206 + -3.5 Combine like terms: 206 + -3.5 = 202.5 5a = 202.5 Divide each side by '5'. a = 40.5 Simplifying a = 40.5
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