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Simplifying 4a + 27 = 6a + -17 Reorder the terms: 27 + 4a = 6a + -17 Reorder the terms: 27 + 4a = -17 + 6a Solving 27 + 4a = -17 + 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. 27 + 4a + -6a = -17 + 6a + -6a Combine like terms: 4a + -6a = -2a 27 + -2a = -17 + 6a + -6a Combine like terms: 6a + -6a = 0 27 + -2a = -17 + 0 27 + -2a = -17 Add '-27' to each side of the equation. 27 + -27 + -2a = -17 + -27 Combine like terms: 27 + -27 = 0 0 + -2a = -17 + -27 -2a = -17 + -27 Combine like terms: -17 + -27 = -44 -2a = -44 Divide each side by '-2'. a = 22 Simplifying a = 22
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