4z-40=4(5z-2)

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Solution for 4z-40=4(5z-2) equation:


Simplifying
4z + -40 = 4(5z + -2)

Reorder the terms:
-40 + 4z = 4(5z + -2)

Reorder the terms:
-40 + 4z = 4(-2 + 5z)
-40 + 4z = (-2 * 4 + 5z * 4)
-40 + 4z = (-8 + 20z)

Solving
-40 + 4z = -8 + 20z

Solving for variable 'z'.

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

Add '-20z' to each side of the equation.
-40 + 4z + -20z = -8 + 20z + -20z

Combine like terms: 4z + -20z = -16z
-40 + -16z = -8 + 20z + -20z

Combine like terms: 20z + -20z = 0
-40 + -16z = -8 + 0
-40 + -16z = -8

Add '40' to each side of the equation.
-40 + 40 + -16z = -8 + 40

Combine like terms: -40 + 40 = 0
0 + -16z = -8 + 40
-16z = -8 + 40

Combine like terms: -8 + 40 = 32
-16z = 32

Divide each side by '-16'.
z = -2

Simplifying
z = -2

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