2z+4z+2+z+10=z+2+20

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Solution for 2z+4z+2+z+10=z+2+20 equation:


Simplifying
2z + 4z + 2 + z + 10 = z + 2 + 20

Reorder the terms:
2 + 10 + 2z + 4z + z = z + 2 + 20

Combine like terms: 2 + 10 = 12
12 + 2z + 4z + z = z + 2 + 20

Combine like terms: 2z + 4z = 6z
12 + 6z + z = z + 2 + 20

Combine like terms: 6z + z = 7z
12 + 7z = z + 2 + 20

Reorder the terms:
12 + 7z = 2 + 20 + z

Combine like terms: 2 + 20 = 22
12 + 7z = 22 + z

Solving
12 + 7z = 22 + 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.
12 + 7z + -1z = 22 + z + -1z

Combine like terms: 7z + -1z = 6z
12 + 6z = 22 + z + -1z

Combine like terms: z + -1z = 0
12 + 6z = 22 + 0
12 + 6z = 22

Add '-12' to each side of the equation.
12 + -12 + 6z = 22 + -12

Combine like terms: 12 + -12 = 0
0 + 6z = 22 + -12
6z = 22 + -12

Combine like terms: 22 + -12 = 10
6z = 10

Divide each side by '6'.
z = 1.666666667

Simplifying
z = 1.666666667

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