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Simplifying 2a + -19 = 7a + 31 Reorder the terms: -19 + 2a = 7a + 31 Reorder the terms: -19 + 2a = 31 + 7a Solving -19 + 2a = 31 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -19 + 2a + -7a = 31 + 7a + -7a Combine like terms: 2a + -7a = -5a -19 + -5a = 31 + 7a + -7a Combine like terms: 7a + -7a = 0 -19 + -5a = 31 + 0 -19 + -5a = 31 Add '19' to each side of the equation. -19 + 19 + -5a = 31 + 19 Combine like terms: -19 + 19 = 0 0 + -5a = 31 + 19 -5a = 31 + 19 Combine like terms: 31 + 19 = 50 -5a = 50 Divide each side by '-5'. a = -10 Simplifying a = -10
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