4z-20=7+18(z+4)

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Solution for 4z-20=7+18(z+4) equation:


Simplifying
4z + -20 = 7 + 18(z + 4)

Reorder the terms:
-20 + 4z = 7 + 18(z + 4)

Reorder the terms:
-20 + 4z = 7 + 18(4 + z)
-20 + 4z = 7 + (4 * 18 + z * 18)
-20 + 4z = 7 + (72 + 18z)

Combine like terms: 7 + 72 = 79
-20 + 4z = 79 + 18z

Solving
-20 + 4z = 79 + 18z

Solving for variable 'z'.

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

Add '-18z' to each side of the equation.
-20 + 4z + -18z = 79 + 18z + -18z

Combine like terms: 4z + -18z = -14z
-20 + -14z = 79 + 18z + -18z

Combine like terms: 18z + -18z = 0
-20 + -14z = 79 + 0
-20 + -14z = 79

Add '20' to each side of the equation.
-20 + 20 + -14z = 79 + 20

Combine like terms: -20 + 20 = 0
0 + -14z = 79 + 20
-14z = 79 + 20

Combine like terms: 79 + 20 = 99
-14z = 99

Divide each side by '-14'.
z = -7.071428571

Simplifying
z = -7.071428571

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