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Simplifying 23 + 8z + 3z + -13 = 15z + 16 + -4z + -6 Reorder the terms: 23 + -13 + 8z + 3z = 15z + 16 + -4z + -6 Combine like terms: 23 + -13 = 10 10 + 8z + 3z = 15z + 16 + -4z + -6 Combine like terms: 8z + 3z = 11z 10 + 11z = 15z + 16 + -4z + -6 Reorder the terms: 10 + 11z = 16 + -6 + 15z + -4z Combine like terms: 16 + -6 = 10 10 + 11z = 10 + 15z + -4z Combine like terms: 15z + -4z = 11z 10 + 11z = 10 + 11z Add '-10' to each side of the equation. 10 + -10 + 11z = 10 + -10 + 11z Combine like terms: 10 + -10 = 0 0 + 11z = 10 + -10 + 11z 11z = 10 + -10 + 11z Combine like terms: 10 + -10 = 0 11z = 0 + 11z 11z = 11z Add '-11z' to each side of the equation. 11z + -11z = 11z + -11z Combine like terms: 11z + -11z = 0 0 = 11z + -11z Combine like terms: 11z + -11z = 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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