Answer
z=-1
Work Step by Step
5z+7=6(z-2)-4(2z-3)
5z+7=6(z)-6(2)-4(2z)-4(-3)
5z+7=6z-12-8z+12
5z+7=(6z-8z)+(-12+12)
5z+7=-2z+0
5z=-2z-7
5z+2z=-7
7z=-7
z=$\frac{-7}{7}$
z=-1
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