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Simplifying 23a + 17 = 25(5 + 4a) + -18 Reorder the terms: 17 + 23a = 25(5 + 4a) + -18 17 + 23a = (5 * 25 + 4a * 25) + -18 17 + 23a = (125 + 100a) + -18 Reorder the terms: 17 + 23a = 125 + -18 + 100a Combine like terms: 125 + -18 = 107 17 + 23a = 107 + 100a Solving 17 + 23a = 107 + 100a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-100a' to each side of the equation. 17 + 23a + -100a = 107 + 100a + -100a Combine like terms: 23a + -100a = -77a 17 + -77a = 107 + 100a + -100a Combine like terms: 100a + -100a = 0 17 + -77a = 107 + 0 17 + -77a = 107 Add '-17' to each side of the equation. 17 + -17 + -77a = 107 + -17 Combine like terms: 17 + -17 = 0 0 + -77a = 107 + -17 -77a = 107 + -17 Combine like terms: 107 + -17 = 90 -77a = 90 Divide each side by '-77'. a = -1.168831169 Simplifying a = -1.168831169
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