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Simplifying 3a + -27 = 54 + 13a Reorder the terms: -27 + 3a = 54 + 13a Solving -27 + 3a = 54 + 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. -27 + 3a + -13a = 54 + 13a + -13a Combine like terms: 3a + -13a = -10a -27 + -10a = 54 + 13a + -13a Combine like terms: 13a + -13a = 0 -27 + -10a = 54 + 0 -27 + -10a = 54 Add '27' to each side of the equation. -27 + 27 + -10a = 54 + 27 Combine like terms: -27 + 27 = 0 0 + -10a = 54 + 27 -10a = 54 + 27 Combine like terms: 54 + 27 = 81 -10a = 81 Divide each side by '-10'. a = -8.1 Simplifying a = -8.1
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