3z+3=4z-14

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Solution for 3z+3=4z-14 equation:


Simplifying
3z + 3 = 4z + -14

Reorder the terms:
3 + 3z = 4z + -14

Reorder the terms:
3 + 3z = -14 + 4z

Solving
3 + 3z = -14 + 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 = -14 + 4z + -4z

Combine like terms: 3z + -4z = -1z
3 + -1z = -14 + 4z + -4z

Combine like terms: 4z + -4z = 0
3 + -1z = -14 + 0
3 + -1z = -14

Add '-3' to each side of the equation.
3 + -3 + -1z = -14 + -3

Combine like terms: 3 + -3 = 0
0 + -1z = -14 + -3
-1z = -14 + -3

Combine like terms: -14 + -3 = -17
-1z = -17

Divide each side by '-1'.
z = 17

Simplifying
z = 17

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