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Simplifying 5a + -5 = 19 + 3a Reorder the terms: -5 + 5a = 19 + 3a Solving -5 + 5a = 19 + 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. -5 + 5a + -3a = 19 + 3a + -3a Combine like terms: 5a + -3a = 2a -5 + 2a = 19 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + 2a = 19 + 0 -5 + 2a = 19 Add '5' to each side of the equation. -5 + 5 + 2a = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 2a = 19 + 5 2a = 19 + 5 Combine like terms: 19 + 5 = 24 2a = 24 Divide each side by '2'. a = 12 Simplifying a = 12
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