7+10z-5=7z+44-4z

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Solution for 7+10z-5=7z+44-4z equation:


Simplifying
7 + 10z + -5 = 7z + 44 + -4z

Reorder the terms:
7 + -5 + 10z = 7z + 44 + -4z

Combine like terms: 7 + -5 = 2
2 + 10z = 7z + 44 + -4z

Reorder the terms:
2 + 10z = 44 + 7z + -4z

Combine like terms: 7z + -4z = 3z
2 + 10z = 44 + 3z

Solving
2 + 10z = 44 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
2 + 10z + -3z = 44 + 3z + -3z

Combine like terms: 10z + -3z = 7z
2 + 7z = 44 + 3z + -3z

Combine like terms: 3z + -3z = 0
2 + 7z = 44 + 0
2 + 7z = 44

Add '-2' to each side of the equation.
2 + -2 + 7z = 44 + -2

Combine like terms: 2 + -2 = 0
0 + 7z = 44 + -2
7z = 44 + -2

Combine like terms: 44 + -2 = 42
7z = 42

Divide each side by '7'.
z = 6

Simplifying
z = 6

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