4(z-5)=11z+50

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Solution for 4(z-5)=11z+50 equation:


Simplifying
4(z + -5) = 11z + 50

Reorder the terms:
4(-5 + z) = 11z + 50
(-5 * 4 + z * 4) = 11z + 50
(-20 + 4z) = 11z + 50

Reorder the terms:
-20 + 4z = 50 + 11z

Solving
-20 + 4z = 50 + 11z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-11z' to each side of the equation.
-20 + 4z + -11z = 50 + 11z + -11z

Combine like terms: 4z + -11z = -7z
-20 + -7z = 50 + 11z + -11z

Combine like terms: 11z + -11z = 0
-20 + -7z = 50 + 0
-20 + -7z = 50

Add '20' to each side of the equation.
-20 + 20 + -7z = 50 + 20

Combine like terms: -20 + 20 = 0
0 + -7z = 50 + 20
-7z = 50 + 20

Combine like terms: 50 + 20 = 70
-7z = 70

Divide each side by '-7'.
z = -10

Simplifying
z = -10

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