(3z+3)=(4z-7)

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Solution for (3z+3)=(4z-7) equation:


Simplifying
(3z + 3) = (4z + -7)

Reorder the terms:
(3 + 3z) = (4z + -7)

Remove parenthesis around (3 + 3z)
3 + 3z = (4z + -7)

Reorder the terms:
3 + 3z = (-7 + 4z)

Remove parenthesis around (-7 + 4z)
3 + 3z = -7 + 4z

Solving
3 + 3z = -7 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
3 + 3z + -4z = -7 + 4z + -4z

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

Combine like terms: 4z + -4z = 0
3 + -1z = -7 + 0
3 + -1z = -7

Add '-3' to each side of the equation.
3 + -3 + -1z = -7 + -3

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

Combine like terms: -7 + -3 = -10
-1z = -10

Divide each side by '-1'.
z = 10

Simplifying
z = 10

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