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Simplifying (6a + -54) + -1(5a + 26) = 23 Reorder the terms: (-54 + 6a) + -1(5a + 26) = 23 Remove parenthesis around (-54 + 6a) -54 + 6a + -1(5a + 26) = 23 Reorder the terms: -54 + 6a + -1(26 + 5a) = 23 -54 + 6a + (26 * -1 + 5a * -1) = 23 -54 + 6a + (-26 + -5a) = 23 Reorder the terms: -54 + -26 + 6a + -5a = 23 Combine like terms: -54 + -26 = -80 -80 + 6a + -5a = 23 Combine like terms: 6a + -5a = 1a -80 + 1a = 23 Solving -80 + 1a = 23 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + 1a = 23 + 80 Combine like terms: -80 + 80 = 0 0 + 1a = 23 + 80 1a = 23 + 80 Combine like terms: 23 + 80 = 103 1a = 103 Divide each side by '1'. a = 103 Simplifying a = 103
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