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Simplifying 21a + 6 = 17a + 34 Reorder the terms: 6 + 21a = 17a + 34 Reorder the terms: 6 + 21a = 34 + 17a Solving 6 + 21a = 34 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. 6 + 21a + -17a = 34 + 17a + -17a Combine like terms: 21a + -17a = 4a 6 + 4a = 34 + 17a + -17a Combine like terms: 17a + -17a = 0 6 + 4a = 34 + 0 6 + 4a = 34 Add '-6' to each side of the equation. 6 + -6 + 4a = 34 + -6 Combine like terms: 6 + -6 = 0 0 + 4a = 34 + -6 4a = 34 + -6 Combine like terms: 34 + -6 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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