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Simplifying 5a + -17 = 24 + 7a Reorder the terms: -17 + 5a = 24 + 7a Solving -17 + 5a = 24 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -17 + 5a + -7a = 24 + 7a + -7a Combine like terms: 5a + -7a = -2a -17 + -2a = 24 + 7a + -7a Combine like terms: 7a + -7a = 0 -17 + -2a = 24 + 0 -17 + -2a = 24 Add '17' to each side of the equation. -17 + 17 + -2a = 24 + 17 Combine like terms: -17 + 17 = 0 0 + -2a = 24 + 17 -2a = 24 + 17 Combine like terms: 24 + 17 = 41 -2a = 41 Divide each side by '-2'. a = -20.5 Simplifying a = -20.5
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