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Simplifying 5z + 13 + -2z + 1 = 5z + -2z + 13 + 1 Reorder the terms: 13 + 1 + 5z + -2z = 5z + -2z + 13 + 1 Combine like terms: 13 + 1 = 14 14 + 5z + -2z = 5z + -2z + 13 + 1 Combine like terms: 5z + -2z = 3z 14 + 3z = 5z + -2z + 13 + 1 Reorder the terms: 14 + 3z = 13 + 1 + 5z + -2z Combine like terms: 13 + 1 = 14 14 + 3z = 14 + 5z + -2z Combine like terms: 5z + -2z = 3z 14 + 3z = 14 + 3z Add '-14' to each side of the equation. 14 + -14 + 3z = 14 + -14 + 3z Combine like terms: 14 + -14 = 0 0 + 3z = 14 + -14 + 3z 3z = 14 + -14 + 3z Combine like terms: 14 + -14 = 0 3z = 0 + 3z 3z = 3z Add '-3z' to each side of the equation. 3z + -3z = 3z + -3z Combine like terms: 3z + -3z = 0 0 = 3z + -3z Combine like terms: 3z + -3z = 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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