5z+4-z=6+3z-7

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Solution for 5z+4-z=6+3z-7 equation:


Simplifying
5z + 4 + -1z = 6 + 3z + -7

Reorder the terms:
4 + 5z + -1z = 6 + 3z + -7

Combine like terms: 5z + -1z = 4z
4 + 4z = 6 + 3z + -7

Reorder the terms:
4 + 4z = 6 + -7 + 3z

Combine like terms: 6 + -7 = -1
4 + 4z = -1 + 3z

Solving
4 + 4z = -1 + 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.
4 + 4z + -3z = -1 + 3z + -3z

Combine like terms: 4z + -3z = 1z
4 + 1z = -1 + 3z + -3z

Combine like terms: 3z + -3z = 0
4 + 1z = -1 + 0
4 + 1z = -1

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

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

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

Divide each side by '1'.
z = -5

Simplifying
z = -5

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