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Simplifying 3a + -5 + 4a = 3a + 19 Reorder the terms: -5 + 3a + 4a = 3a + 19 Combine like terms: 3a + 4a = 7a -5 + 7a = 3a + 19 Reorder the terms: -5 + 7a = 19 + 3a Solving -5 + 7a = 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 + 7a + -3a = 19 + 3a + -3a Combine like terms: 7a + -3a = 4a -5 + 4a = 19 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + 4a = 19 + 0 -5 + 4a = 19 Add '5' to each side of the equation. -5 + 5 + 4a = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 4a = 19 + 5 4a = 19 + 5 Combine like terms: 19 + 5 = 24 4a = 24 Divide each side by '4'. a = 6 Simplifying a = 6
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