4z-40=7(-2z+2)

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Solution for 4z-40=7(-2z+2) equation:


Simplifying
4z + -40 = 7(-2z + 2)

Reorder the terms:
-40 + 4z = 7(-2z + 2)

Reorder the terms:
-40 + 4z = 7(2 + -2z)
-40 + 4z = (2 * 7 + -2z * 7)
-40 + 4z = (14 + -14z)

Solving
-40 + 4z = 14 + -14z

Solving for variable 'z'.

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

Add '14z' to each side of the equation.
-40 + 4z + 14z = 14 + -14z + 14z

Combine like terms: 4z + 14z = 18z
-40 + 18z = 14 + -14z + 14z

Combine like terms: -14z + 14z = 0
-40 + 18z = 14 + 0
-40 + 18z = 14

Add '40' to each side of the equation.
-40 + 40 + 18z = 14 + 40

Combine like terms: -40 + 40 = 0
0 + 18z = 14 + 40
18z = 14 + 40

Combine like terms: 14 + 40 = 54
18z = 54

Divide each side by '18'.
z = 3

Simplifying
z = 3

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