7+2z-4=8z+13-4z

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Solution for 7+2z-4=8z+13-4z equation:


Simplifying
7 + 2z + -4 = 8z + 13 + -4z

Reorder the terms:
7 + -4 + 2z = 8z + 13 + -4z

Combine like terms: 7 + -4 = 3
3 + 2z = 8z + 13 + -4z

Reorder the terms:
3 + 2z = 13 + 8z + -4z

Combine like terms: 8z + -4z = 4z
3 + 2z = 13 + 4z

Solving
3 + 2z = 13 + 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.
3 + 2z + -4z = 13 + 4z + -4z

Combine like terms: 2z + -4z = -2z
3 + -2z = 13 + 4z + -4z

Combine like terms: 4z + -4z = 0
3 + -2z = 13 + 0
3 + -2z = 13

Add '-3' to each side of the equation.
3 + -3 + -2z = 13 + -3

Combine like terms: 3 + -3 = 0
0 + -2z = 13 + -3
-2z = 13 + -3

Combine like terms: 13 + -3 = 10
-2z = 10

Divide each side by '-2'.
z = -5

Simplifying
z = -5

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