(z+10)+4z=(z+50)

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Solution for (z+10)+4z=(z+50) equation:


Simplifying
(z + 10) + 4z = (z + 50)

Reorder the terms:
(10 + z) + 4z = (z + 50)

Remove parenthesis around (10 + z)
10 + z + 4z = (z + 50)

Combine like terms: z + 4z = 5z
10 + 5z = (z + 50)

Reorder the terms:
10 + 5z = (50 + z)

Remove parenthesis around (50 + z)
10 + 5z = 50 + z

Solving
10 + 5z = 50 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
10 + 5z + -1z = 50 + z + -1z

Combine like terms: 5z + -1z = 4z
10 + 4z = 50 + z + -1z

Combine like terms: z + -1z = 0
10 + 4z = 50 + 0
10 + 4z = 50

Add '-10' to each side of the equation.
10 + -10 + 4z = 50 + -10

Combine like terms: 10 + -10 = 0
0 + 4z = 50 + -10
4z = 50 + -10

Combine like terms: 50 + -10 = 40
4z = 40

Divide each side by '4'.
z = 10

Simplifying
z = 10

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