z+4=5z-10

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Solution for z+4=5z-10 equation:


Simplifying
z + 4 = 5z + -10

Reorder the terms:
4 + z = 5z + -10

Reorder the terms:
4 + z = -10 + 5z

Solving
4 + z = -10 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
4 + z + -5z = -10 + 5z + -5z

Combine like terms: z + -5z = -4z
4 + -4z = -10 + 5z + -5z

Combine like terms: 5z + -5z = 0
4 + -4z = -10 + 0
4 + -4z = -10

Add '-4' to each side of the equation.
4 + -4 + -4z = -10 + -4

Combine like terms: 4 + -4 = 0
0 + -4z = -10 + -4
-4z = -10 + -4

Combine like terms: -10 + -4 = -14
-4z = -14

Divide each side by '-4'.
z = 3.5

Simplifying
z = 3.5

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