8z-2(z+5)=-4(z-1)+6

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Solution for 8z-2(z+5)=-4(z-1)+6 equation:


Simplifying
8z + -2(z + 5) = -4(z + -1) + 6

Reorder the terms:
8z + -2(5 + z) = -4(z + -1) + 6
8z + (5 * -2 + z * -2) = -4(z + -1) + 6
8z + (-10 + -2z) = -4(z + -1) + 6

Reorder the terms:
-10 + 8z + -2z = -4(z + -1) + 6

Combine like terms: 8z + -2z = 6z
-10 + 6z = -4(z + -1) + 6

Reorder the terms:
-10 + 6z = -4(-1 + z) + 6
-10 + 6z = (-1 * -4 + z * -4) + 6
-10 + 6z = (4 + -4z) + 6

Reorder the terms:
-10 + 6z = 4 + 6 + -4z

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

Solving
-10 + 6z = 10 + -4z

Solving for variable 'z'.

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

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

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

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

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

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

Combine like terms: 10 + 10 = 20
10z = 20

Divide each side by '10'.
z = 2

Simplifying
z = 2

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