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Simplifying 7a + -19 = 5a + -7 Reorder the terms: -19 + 7a = 5a + -7 Reorder the terms: -19 + 7a = -7 + 5a Solving -19 + 7a = -7 + 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. -19 + 7a + -5a = -7 + 5a + -5a Combine like terms: 7a + -5a = 2a -19 + 2a = -7 + 5a + -5a Combine like terms: 5a + -5a = 0 -19 + 2a = -7 + 0 -19 + 2a = -7 Add '19' to each side of the equation. -19 + 19 + 2a = -7 + 19 Combine like terms: -19 + 19 = 0 0 + 2a = -7 + 19 2a = -7 + 19 Combine like terms: -7 + 19 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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