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Simplifying 6(z + 4) = 5(z + -8) + z Reorder the terms: 6(4 + z) = 5(z + -8) + z (4 * 6 + z * 6) = 5(z + -8) + z (24 + 6z) = 5(z + -8) + z Reorder the terms: 24 + 6z = 5(-8 + z) + z 24 + 6z = (-8 * 5 + z * 5) + z 24 + 6z = (-40 + 5z) + z Combine like terms: 5z + z = 6z 24 + 6z = -40 + 6z Add '-6z' to each side of the equation. 24 + 6z + -6z = -40 + 6z + -6z Combine like terms: 6z + -6z = 0 24 + 0 = -40 + 6z + -6z 24 = -40 + 6z + -6z Combine like terms: 6z + -6z = 0 24 = -40 + 0 24 = -40 Solving 24 = -40 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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