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Simplifying 7a + -7 = 19 + 5a Reorder the terms: -7 + 7a = 19 + 5a Solving -7 + 7a = 19 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -7 + 7a + -5a = 19 + 5a + -5a Combine like terms: 7a + -5a = 2a -7 + 2a = 19 + 5a + -5a Combine like terms: 5a + -5a = 0 -7 + 2a = 19 + 0 -7 + 2a = 19 Add '7' to each side of the equation. -7 + 7 + 2a = 19 + 7 Combine like terms: -7 + 7 = 0 0 + 2a = 19 + 7 2a = 19 + 7 Combine like terms: 19 + 7 = 26 2a = 26 Divide each side by '2'. a = 13 Simplifying a = 13
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