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Simplifying 3a + 5b + 20 = 500 Reorder the terms: 20 + 3a + 5b = 500 Solving 20 + 3a + 5b = 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 + 3a + -20 + 5b = 500 + -20 Reorder the terms: 20 + -20 + 3a + 5b = 500 + -20 Combine like terms: 20 + -20 = 0 0 + 3a + 5b = 500 + -20 3a + 5b = 500 + -20 Combine like terms: 500 + -20 = 480 3a + 5b = 480 Add '-5b' to each side of the equation. 3a + 5b + -5b = 480 + -5b Combine like terms: 5b + -5b = 0 3a + 0 = 480 + -5b 3a = 480 + -5b Divide each side by '3'. a = 160 + -1.666666667b Simplifying a = 160 + -1.666666667b
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