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Simplifying 12a + 19 = 13a + -15 Reorder the terms: 19 + 12a = 13a + -15 Reorder the terms: 19 + 12a = -15 + 13a Solving 19 + 12a = -15 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 19 + 12a + -13a = -15 + 13a + -13a Combine like terms: 12a + -13a = -1a 19 + -1a = -15 + 13a + -13a Combine like terms: 13a + -13a = 0 19 + -1a = -15 + 0 19 + -1a = -15 Add '-19' to each side of the equation. 19 + -19 + -1a = -15 + -19 Combine like terms: 19 + -19 = 0 0 + -1a = -15 + -19 -1a = -15 + -19 Combine like terms: -15 + -19 = -34 -1a = -34 Divide each side by '-1'. a = 34 Simplifying a = 34
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