4z-7=z+1

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Solution for 4z-7=z+1 equation:


Simplifying
4z + -7 = z + 1

Reorder the terms:
-7 + 4z = z + 1

Reorder the terms:
-7 + 4z = 1 + z

Solving
-7 + 4z = 1 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-7 + 4z + -1z = 1 + z + -1z

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

Combine like terms: z + -1z = 0
-7 + 3z = 1 + 0
-7 + 3z = 1

Add '7' to each side of the equation.
-7 + 7 + 3z = 1 + 7

Combine like terms: -7 + 7 = 0
0 + 3z = 1 + 7
3z = 1 + 7

Combine like terms: 1 + 7 = 8
3z = 8

Divide each side by '3'.
z = 2.666666667

Simplifying
z = 2.666666667

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