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Simplifying 4z + 17 + 2z + 10 + 2z + 19 + 6z + 6 = 14z + 52 Reorder the terms: 17 + 10 + 19 + 6 + 4z + 2z + 2z + 6z = 14z + 52 Combine like terms: 17 + 10 = 27 27 + 19 + 6 + 4z + 2z + 2z + 6z = 14z + 52 Combine like terms: 27 + 19 = 46 46 + 6 + 4z + 2z + 2z + 6z = 14z + 52 Combine like terms: 46 + 6 = 52 52 + 4z + 2z + 2z + 6z = 14z + 52 Combine like terms: 4z + 2z = 6z 52 + 6z + 2z + 6z = 14z + 52 Combine like terms: 6z + 2z = 8z 52 + 8z + 6z = 14z + 52 Combine like terms: 8z + 6z = 14z 52 + 14z = 14z + 52 Reorder the terms: 52 + 14z = 52 + 14z Add '-52' to each side of the equation. 52 + -52 + 14z = 52 + -52 + 14z Combine like terms: 52 + -52 = 0 0 + 14z = 52 + -52 + 14z 14z = 52 + -52 + 14z Combine like terms: 52 + -52 = 0 14z = 0 + 14z 14z = 14z Add '-14z' to each side of the equation. 14z + -14z = 14z + -14z Combine like terms: 14z + -14z = 0 0 = 14z + -14z Combine like terms: 14z + -14z = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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