8-4z=11-(3z+5)

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Solution for 8-4z=11-(3z+5) equation:


Simplifying
8 + -4z = 11 + -1(3z + 5)

Reorder the terms:
8 + -4z = 11 + -1(5 + 3z)
8 + -4z = 11 + (5 * -1 + 3z * -1)
8 + -4z = 11 + (-5 + -3z)

Combine like terms: 11 + -5 = 6
8 + -4z = 6 + -3z

Solving
8 + -4z = 6 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
8 + -4z + 3z = 6 + -3z + 3z

Combine like terms: -4z + 3z = -1z
8 + -1z = 6 + -3z + 3z

Combine like terms: -3z + 3z = 0
8 + -1z = 6 + 0
8 + -1z = 6

Add '-8' to each side of the equation.
8 + -8 + -1z = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -1z = 6 + -8
-1z = 6 + -8

Combine like terms: 6 + -8 = -2
-1z = -2

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

Simplifying
z = 2

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