40z-40=5(10z-28)

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Solution for 40z-40=5(10z-28) equation:


Simplifying
40z + -40 = 5(10z + -28)

Reorder the terms:
-40 + 40z = 5(10z + -28)

Reorder the terms:
-40 + 40z = 5(-28 + 10z)
-40 + 40z = (-28 * 5 + 10z * 5)
-40 + 40z = (-140 + 50z)

Solving
-40 + 40z = -140 + 50z

Solving for variable 'z'.

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

Add '-50z' to each side of the equation.
-40 + 40z + -50z = -140 + 50z + -50z

Combine like terms: 40z + -50z = -10z
-40 + -10z = -140 + 50z + -50z

Combine like terms: 50z + -50z = 0
-40 + -10z = -140 + 0
-40 + -10z = -140

Add '40' to each side of the equation.
-40 + 40 + -10z = -140 + 40

Combine like terms: -40 + 40 = 0
0 + -10z = -140 + 40
-10z = -140 + 40

Combine like terms: -140 + 40 = -100
-10z = -100

Divide each side by '-10'.
z = 10

Simplifying
z = 10

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