3z+3=z-4

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


Simplifying
3z + 3 = z + -4

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

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

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

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

Combine like terms: z + -1z = 0
3 + 2z = -4 + 0
3 + 2z = -4

Add '-3' to each side of the equation.
3 + -3 + 2z = -4 + -3

Combine like terms: 3 + -3 = 0
0 + 2z = -4 + -3
2z = -4 + -3

Combine like terms: -4 + -3 = -7
2z = -7

Divide each side by '2'.
z = -3.5

Simplifying
z = -3.5

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