4z+1=6z-3

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Solution for 4z+1=6z-3 equation:


Simplifying
4z + 1 = 6z + -3

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

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

Solving
1 + 4z = -3 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
1 + 4z + -6z = -3 + 6z + -6z

Combine like terms: 4z + -6z = -2z
1 + -2z = -3 + 6z + -6z

Combine like terms: 6z + -6z = 0
1 + -2z = -3 + 0
1 + -2z = -3

Add '-1' to each side of the equation.
1 + -1 + -2z = -3 + -1

Combine like terms: 1 + -1 = 0
0 + -2z = -3 + -1
-2z = -3 + -1

Combine like terms: -3 + -1 = -4
-2z = -4

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

Simplifying
z = 2

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