-6-2(-5z-6)=5(-2z-1)-5

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


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

Reorder the terms:
-6 + -2(-6 + -5z) = 5(-2z + -1) + -5
-6 + (-6 * -2 + -5z * -2) = 5(-2z + -1) + -5
-6 + (12 + 10z) = 5(-2z + -1) + -5

Combine like terms: -6 + 12 = 6
6 + 10z = 5(-2z + -1) + -5

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

Reorder the terms:
6 + 10z = -5 + -5 + -10z

Combine like terms: -5 + -5 = -10
6 + 10z = -10 + -10z

Solving
6 + 10z = -10 + -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.
6 + 10z + 10z = -10 + -10z + 10z

Combine like terms: 10z + 10z = 20z
6 + 20z = -10 + -10z + 10z

Combine like terms: -10z + 10z = 0
6 + 20z = -10 + 0
6 + 20z = -10

Add '-6' to each side of the equation.
6 + -6 + 20z = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 20z = -10 + -6
20z = -10 + -6

Combine like terms: -10 + -6 = -16
20z = -16

Divide each side by '20'.
z = -0.8

Simplifying
z = -0.8

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