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6(5z-1)-4(z+3)=13(z+1)
We simplify the equation to the form, which is simple to understand
6(5z-1)-4(z+3)=13(z+1)
Reorder the terms in parentheses
+(+30z-6)-4*(z+3)=13*(z+1)
Remove unnecessary parentheses
+30z-6-4+*(+z+3+)=+13+*(+z+1+)
Reorder the terms in parentheses
+30z-6+(-4z-12)=13*(z+1)
Remove unnecessary parentheses
+30z-6-4z-12=+13+*(+z+1+)
Reorder the terms in parentheses
+30z-6-4z-12=+(+13z+13)
Remove unnecessary parentheses
+30z-6-4z-12=+13z+13
We move all terms containing z to the left and all other terms to the right.
+30z-4z-13z=+13+6+12
We simplify left and right side of the equation.
+13z=+31
We divide both sides of the equation by 13 to get z.
z=2.3846153846154
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