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Simplifying (6a + -54) + -1(5a + -27) = 23 Reorder the terms: (-54 + 6a) + -1(5a + -27) = 23 Remove parenthesis around (-54 + 6a) -54 + 6a + -1(5a + -27) = 23 Reorder the terms: -54 + 6a + -1(-27 + 5a) = 23 -54 + 6a + (-27 * -1 + 5a * -1) = 23 -54 + 6a + (27 + -5a) = 23 Reorder the terms: -54 + 27 + 6a + -5a = 23 Combine like terms: -54 + 27 = -27 -27 + 6a + -5a = 23 Combine like terms: 6a + -5a = 1a -27 + 1a = 23 Solving -27 + 1a = 23 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 1a = 23 + 27 Combine like terms: -27 + 27 = 0 0 + 1a = 23 + 27 1a = 23 + 27 Combine like terms: 23 + 27 = 50 1a = 50 Divide each side by '1'. a = 50 Simplifying a = 50
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