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Simplifying 20a + -420 = 420 + -40a Reorder the terms: -420 + 20a = 420 + -40a Solving -420 + 20a = 420 + -40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. -420 + 20a + 40a = 420 + -40a + 40a Combine like terms: 20a + 40a = 60a -420 + 60a = 420 + -40a + 40a Combine like terms: -40a + 40a = 0 -420 + 60a = 420 + 0 -420 + 60a = 420 Add '420' to each side of the equation. -420 + 420 + 60a = 420 + 420 Combine like terms: -420 + 420 = 0 0 + 60a = 420 + 420 60a = 420 + 420 Combine like terms: 420 + 420 = 840 60a = 840 Divide each side by '60'. a = 14 Simplifying a = 14
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