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Simplifying 7a + 19 = 12a + -1 Reorder the terms: 19 + 7a = 12a + -1 Reorder the terms: 19 + 7a = -1 + 12a Solving 19 + 7a = -1 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 19 + 7a + -12a = -1 + 12a + -12a Combine like terms: 7a + -12a = -5a 19 + -5a = -1 + 12a + -12a Combine like terms: 12a + -12a = 0 19 + -5a = -1 + 0 19 + -5a = -1 Add '-19' to each side of the equation. 19 + -19 + -5a = -1 + -19 Combine like terms: 19 + -19 = 0 0 + -5a = -1 + -19 -5a = -1 + -19 Combine like terms: -1 + -19 = -20 -5a = -20 Divide each side by '-5'. a = 4 Simplifying a = 4
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