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Simplifying 3a + 1b + 2a + 2b + 20 = 500 Reorder the terms: 20 + 3a + 2a + 1b + 2b = 500 Combine like terms: 3a + 2a = 5a 20 + 5a + 1b + 2b = 500 Combine like terms: 1b + 2b = 3b 20 + 5a + 3b = 500 Solving 20 + 5a + 3b = 500 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 5a + -20 + 3b = 500 + -20 Reorder the terms: 20 + -20 + 5a + 3b = 500 + -20 Combine like terms: 20 + -20 = 0 0 + 5a + 3b = 500 + -20 5a + 3b = 500 + -20 Combine like terms: 500 + -20 = 480 5a + 3b = 480 Add '-3b' to each side of the equation. 5a + 3b + -3b = 480 + -3b Combine like terms: 3b + -3b = 0 5a + 0 = 480 + -3b 5a = 480 + -3b Divide each side by '5'. a = 96 + -0.6b Simplifying a = 96 + -0.6b
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