4z+1=7z-5

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Solution for 4z+1=7z-5 equation:


Simplifying
4z + 1 = 7z + -5

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

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

Solving
1 + 4z = -5 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
1 + 4z + -7z = -5 + 7z + -7z

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

Combine like terms: 7z + -7z = 0
1 + -3z = -5 + 0
1 + -3z = -5

Add '-1' to each side of the equation.
1 + -1 + -3z = -5 + -1

Combine like terms: 1 + -1 = 0
0 + -3z = -5 + -1
-3z = -5 + -1

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

Divide each side by '-3'.
z = 2

Simplifying
z = 2

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