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Simplifying 2a + -27 = -43 + 6a Reorder the terms: -27 + 2a = -43 + 6a Solving -27 + 2a = -43 + 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 + 2a + -6a = -43 + 6a + -6a Combine like terms: 2a + -6a = -4a -27 + -4a = -43 + 6a + -6a Combine like terms: 6a + -6a = 0 -27 + -4a = -43 + 0 -27 + -4a = -43 Add '27' to each side of the equation. -27 + 27 + -4a = -43 + 27 Combine like terms: -27 + 27 = 0 0 + -4a = -43 + 27 -4a = -43 + 27 Combine like terms: -43 + 27 = -16 -4a = -16 Divide each side by '-4'. a = 4 Simplifying a = 4
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