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Simplifying 7a + -17 = 4a + 6 Reorder the terms: -17 + 7a = 4a + 6 Reorder the terms: -17 + 7a = 6 + 4a Solving -17 + 7a = 6 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -17 + 7a + -4a = 6 + 4a + -4a Combine like terms: 7a + -4a = 3a -17 + 3a = 6 + 4a + -4a Combine like terms: 4a + -4a = 0 -17 + 3a = 6 + 0 -17 + 3a = 6 Add '17' to each side of the equation. -17 + 17 + 3a = 6 + 17 Combine like terms: -17 + 17 = 0 0 + 3a = 6 + 17 3a = 6 + 17 Combine like terms: 6 + 17 = 23 3a = 23 Divide each side by '3'. a = 7.666666667 Simplifying a = 7.666666667
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