2(-2z+5)=-2(5z-2)

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Solution for 2(-2z+5)=-2(5z-2) equation:


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

Reorder the terms:
2(5 + -2z) = -2(5z + -2)
(5 * 2 + -2z * 2) = -2(5z + -2)
(10 + -4z) = -2(5z + -2)

Reorder the terms:
10 + -4z = -2(-2 + 5z)
10 + -4z = (-2 * -2 + 5z * -2)
10 + -4z = (4 + -10z)

Solving
10 + -4z = 4 + -10z

Solving for variable 'z'.

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

Add '10z' to each side of the equation.
10 + -4z + 10z = 4 + -10z + 10z

Combine like terms: -4z + 10z = 6z
10 + 6z = 4 + -10z + 10z

Combine like terms: -10z + 10z = 0
10 + 6z = 4 + 0
10 + 6z = 4

Add '-10' to each side of the equation.
10 + -10 + 6z = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 6z = 4 + -10
6z = 4 + -10

Combine like terms: 4 + -10 = -6
6z = -6

Divide each side by '6'.
z = -1

Simplifying
z = -1

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