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Simplifying 7a + -4 + -2a = 19 + 3a + 3 Reorder the terms: -4 + 7a + -2a = 19 + 3a + 3 Combine like terms: 7a + -2a = 5a -4 + 5a = 19 + 3a + 3 Reorder the terms: -4 + 5a = 19 + 3 + 3a Combine like terms: 19 + 3 = 22 -4 + 5a = 22 + 3a Solving -4 + 5a = 22 + 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. -4 + 5a + -3a = 22 + 3a + -3a Combine like terms: 5a + -3a = 2a -4 + 2a = 22 + 3a + -3a Combine like terms: 3a + -3a = 0 -4 + 2a = 22 + 0 -4 + 2a = 22 Add '4' to each side of the equation. -4 + 4 + 2a = 22 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = 22 + 4 2a = 22 + 4 Combine like terms: 22 + 4 = 26 2a = 26 Divide each side by '2'. a = 13 Simplifying a = 13
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