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Simplifying 6(z + 3) + -2z = 2(2z + 1) Reorder the terms: 6(3 + z) + -2z = 2(2z + 1) (3 * 6 + z * 6) + -2z = 2(2z + 1) (18 + 6z) + -2z = 2(2z + 1) Combine like terms: 6z + -2z = 4z 18 + 4z = 2(2z + 1) Reorder the terms: 18 + 4z = 2(1 + 2z) 18 + 4z = (1 * 2 + 2z * 2) 18 + 4z = (2 + 4z) Add '-4z' to each side of the equation. 18 + 4z + -4z = 2 + 4z + -4z Combine like terms: 4z + -4z = 0 18 + 0 = 2 + 4z + -4z 18 = 2 + 4z + -4z Combine like terms: 4z + -4z = 0 18 = 2 + 0 18 = 2 Solving 18 = 2 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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