4z+5=-z+10

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


Simplifying
4z + 5 = -1z + 10

Reorder the terms:
5 + 4z = -1z + 10

Reorder the terms:
5 + 4z = 10 + -1z

Solving
5 + 4z = 10 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
5 + 4z + z = 10 + -1z + z

Combine like terms: 4z + z = 5z
5 + 5z = 10 + -1z + z

Combine like terms: -1z + z = 0
5 + 5z = 10 + 0
5 + 5z = 10

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

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

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

Divide each side by '5'.
z = 1

Simplifying
z = 1

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