7z+2-2z=10+4z-6

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Solution for 7z+2-2z=10+4z-6 equation:


Simplifying
7z + 2 + -2z = 10 + 4z + -6

Reorder the terms:
2 + 7z + -2z = 10 + 4z + -6

Combine like terms: 7z + -2z = 5z
2 + 5z = 10 + 4z + -6

Reorder the terms:
2 + 5z = 10 + -6 + 4z

Combine like terms: 10 + -6 = 4
2 + 5z = 4 + 4z

Solving
2 + 5z = 4 + 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.
2 + 5z + -4z = 4 + 4z + -4z

Combine like terms: 5z + -4z = 1z
2 + 1z = 4 + 4z + -4z

Combine like terms: 4z + -4z = 0
2 + 1z = 4 + 0
2 + 1z = 4

Add '-2' to each side of the equation.
2 + -2 + 1z = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 1z = 4 + -2
1z = 4 + -2

Combine like terms: 4 + -2 = 2
1z = 2

Divide each side by '1'.
z = 2

Simplifying
z = 2

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