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

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


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

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

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

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

Solving
3 + 3z = 7 + -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.
3 + 3z + 6z = 7 + -6z + 6z

Combine like terms: 3z + 6z = 9z
3 + 9z = 7 + -6z + 6z

Combine like terms: -6z + 6z = 0
3 + 9z = 7 + 0
3 + 9z = 7

Add '-3' to each side of the equation.
3 + -3 + 9z = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 9z = 7 + -3
9z = 7 + -3

Combine like terms: 7 + -3 = 4
9z = 4

Divide each side by '9'.
z = 0.4444444444

Simplifying
z = 0.4444444444

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