(z+8)+(z+14)=z+46

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Solution for (z+8)+(z+14)=z+46 equation:


Simplifying
(z + 8) + (z + 14) = z + 46

Reorder the terms:
(8 + z) + (z + 14) = z + 46

Remove parenthesis around (8 + z)
8 + z + (z + 14) = z + 46

Reorder the terms:
8 + z + (14 + z) = z + 46

Remove parenthesis around (14 + z)
8 + z + 14 + z = z + 46

Reorder the terms:
8 + 14 + z + z = z + 46

Combine like terms: 8 + 14 = 22
22 + z + z = z + 46

Combine like terms: z + z = 2z
22 + 2z = z + 46

Reorder the terms:
22 + 2z = 46 + z

Solving
22 + 2z = 46 + 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.
22 + 2z + -1z = 46 + z + -1z

Combine like terms: 2z + -1z = 1z
22 + 1z = 46 + z + -1z

Combine like terms: z + -1z = 0
22 + 1z = 46 + 0
22 + 1z = 46

Add '-22' to each side of the equation.
22 + -22 + 1z = 46 + -22

Combine like terms: 22 + -22 = 0
0 + 1z = 46 + -22
1z = 46 + -22

Combine like terms: 46 + -22 = 24
1z = 24

Divide each side by '1'.
z = 24

Simplifying
z = 24

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