2z+7=4z+11

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Solution for 2z+7=4z+11 equation:


Simplifying
2z + 7 = 4z + 11

Reorder the terms:
7 + 2z = 4z + 11

Reorder the terms:
7 + 2z = 11 + 4z

Solving
7 + 2z = 11 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
7 + 2z + -4z = 11 + 4z + -4z

Combine like terms: 2z + -4z = -2z
7 + -2z = 11 + 4z + -4z

Combine like terms: 4z + -4z = 0
7 + -2z = 11 + 0
7 + -2z = 11

Add '-7' to each side of the equation.
7 + -7 + -2z = 11 + -7

Combine like terms: 7 + -7 = 0
0 + -2z = 11 + -7
-2z = 11 + -7

Combine like terms: 11 + -7 = 4
-2z = 4

Divide each side by '-2'.
z = -2

Simplifying
z = -2

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