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Simplifying 5a + 6 = 6a + -38 Reorder the terms: 6 + 5a = 6a + -38 Reorder the terms: 6 + 5a = -38 + 6a Solving 6 + 5a = -38 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 6 + 5a + -6a = -38 + 6a + -6a Combine like terms: 5a + -6a = -1a 6 + -1a = -38 + 6a + -6a Combine like terms: 6a + -6a = 0 6 + -1a = -38 + 0 6 + -1a = -38 Add '-6' to each side of the equation. 6 + -6 + -1a = -38 + -6 Combine like terms: 6 + -6 = 0 0 + -1a = -38 + -6 -1a = -38 + -6 Combine like terms: -38 + -6 = -44 -1a = -44 Divide each side by '-1'. a = 44 Simplifying a = 44
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