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Simplifying 2(5 + z) + 1 = 11 + -4z + 6z (5 * 2 + z * 2) + 1 = 11 + -4z + 6z (10 + 2z) + 1 = 11 + -4z + 6z Reorder the terms: 10 + 1 + 2z = 11 + -4z + 6z Combine like terms: 10 + 1 = 11 11 + 2z = 11 + -4z + 6z Combine like terms: -4z + 6z = 2z 11 + 2z = 11 + 2z Add '-11' to each side of the equation. 11 + -11 + 2z = 11 + -11 + 2z Combine like terms: 11 + -11 = 0 0 + 2z = 11 + -11 + 2z 2z = 11 + -11 + 2z Combine like terms: 11 + -11 = 0 2z = 0 + 2z 2z = 2z Add '-2z' to each side of the equation. 2z + -2z = 2z + -2z Combine like terms: 2z + -2z = 0 0 = 2z + -2z Combine like terms: 2z + -2z = 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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