2z-5(z+2)=-8-2z

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Solution for 2z-5(z+2)=-8-2z equation:


Simplifying
2z + -5(z + 2) = -8 + -2z

Reorder the terms:
2z + -5(2 + z) = -8 + -2z
2z + (2 * -5 + z * -5) = -8 + -2z
2z + (-10 + -5z) = -8 + -2z

Reorder the terms:
-10 + 2z + -5z = -8 + -2z

Combine like terms: 2z + -5z = -3z
-10 + -3z = -8 + -2z

Solving
-10 + -3z = -8 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
-10 + -3z + 2z = -8 + -2z + 2z

Combine like terms: -3z + 2z = -1z
-10 + -1z = -8 + -2z + 2z

Combine like terms: -2z + 2z = 0
-10 + -1z = -8 + 0
-10 + -1z = -8

Add '10' to each side of the equation.
-10 + 10 + -1z = -8 + 10

Combine like terms: -10 + 10 = 0
0 + -1z = -8 + 10
-1z = -8 + 10

Combine like terms: -8 + 10 = 2
-1z = 2

Divide each side by '-1'.
z = -2

Simplifying
z = -2

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