With the equation 3z+3=2z+6

z = -3

Step-by-step explanation:

Simplifying

3z + -3 = 2z + -6

Reorder the terms:

-3 + 3z = 2z + -6

Reorder the terms:

-3 + 3z = -6 + 2z

Solving

-3 + 3z = -6 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.

-3 + 3z + -2z = -6 + 2z + -2z

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

-3 + 1z = -6 + 2z + -2z

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

-3 + 1z = -6 + 0

-3 + 1z = -6

Add '3' to each side of the equation.

-3 + 3 + 1z = -6 + 3

Combine like terms: -3 + 3 = 0

0 + 1z = -6 + 3

1z = -6 + 3

Combine like terms: -6 + 3 = -3

1z = -3

Divide each side by '1'.

z = -3

Simplifying

z = -3

=3z+3=2z+6

=3z-2z=6-3

=z=3

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