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6(5z-1)-2(z+5)=5(z+1) The solution is z=

 Dec 14, 2015
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+5

Solve for z:
6 (5 z-1)-2 (z+5) = 5 (z+1)

-2 (z+5) = -10-2 z:
-10-2 z+6 (5 z-1) = 5 (z+1)

6 (5 z-1) = 30 z-6:
30 z-6-2 z-10 = 5 (z+1)

Grouping like terms, 30 z-2 z-10-6 = (30 z-2 z)+(-10-6):
(30 z-2 z)+(-10-6) = 5 (z+1)

30 z-2 z = 28 z:
28 z+(-10-6) = 5 (z+1)

-10-6 = -16:  28 z+-16 = 5 (z+1)
Answer: | z = 21/23

 Dec 14, 2015

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