z+4=3z-11

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Solution for z+4=3z-11 equation:


Simplifying
z + 4 = 3z + -11

Reorder the terms:
4 + z = 3z + -11

Reorder the terms:
4 + z = -11 + 3z

Solving
4 + z = -11 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
4 + z + -3z = -11 + 3z + -3z

Combine like terms: z + -3z = -2z
4 + -2z = -11 + 3z + -3z

Combine like terms: 3z + -3z = 0
4 + -2z = -11 + 0
4 + -2z = -11

Add '-4' to each side of the equation.
4 + -4 + -2z = -11 + -4

Combine like terms: 4 + -4 = 0
0 + -2z = -11 + -4
-2z = -11 + -4

Combine like terms: -11 + -4 = -15
-2z = -15

Divide each side by '-2'.
z = 7.5

Simplifying
z = 7.5

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