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Simplifying -1z + 3(2 + 4z) = 6(z + 1) + 5z -1z + (2 * 3 + 4z * 3) = 6(z + 1) + 5z -1z + (6 + 12z) = 6(z + 1) + 5z Reorder the terms: 6 + -1z + 12z = 6(z + 1) + 5z Combine like terms: -1z + 12z = 11z 6 + 11z = 6(z + 1) + 5z Reorder the terms: 6 + 11z = 6(1 + z) + 5z 6 + 11z = (1 * 6 + z * 6) + 5z 6 + 11z = (6 + 6z) + 5z Combine like terms: 6z + 5z = 11z 6 + 11z = 6 + 11z Add '-6' to each side of the equation. 6 + -6 + 11z = 6 + -6 + 11z Combine like terms: 6 + -6 = 0 0 + 11z = 6 + -6 + 11z 11z = 6 + -6 + 11z Combine like terms: 6 + -6 = 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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