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Simplifying 6a + -54 + -1(5b + 27) = 23 Reorder the terms: 6a + -54 + -1(27 + 5b) = 23 6a + -54 + (27 * -1 + 5b * -1) = 23 6a + -54 + (-27 + -5b) = 23 Reorder the terms: -54 + -27 + 6a + -5b = 23 Combine like terms: -54 + -27 = -81 -81 + 6a + -5b = 23 Solving -81 + 6a + -5b = 23 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 6a + 81 + -5b = 23 + 81 Reorder the terms: -81 + 81 + 6a + -5b = 23 + 81 Combine like terms: -81 + 81 = 0 0 + 6a + -5b = 23 + 81 6a + -5b = 23 + 81 Combine like terms: 23 + 81 = 104 6a + -5b = 104 Add '5b' to each side of the equation. 6a + -5b + 5b = 104 + 5b Combine like terms: -5b + 5b = 0 6a + 0 = 104 + 5b 6a = 104 + 5b Divide each side by '6'. a = 17.33333333 + 0.8333333333b Simplifying a = 17.33333333 + 0.8333333333b
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