5z+4(4-z)=-(z-2)+2

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


Simplifying
5z + 4(4 + -1z) = -1(z + -2) + 2
5z + (4 * 4 + -1z * 4) = -1(z + -2) + 2
5z + (16 + -4z) = -1(z + -2) + 2

Reorder the terms:
16 + 5z + -4z = -1(z + -2) + 2

Combine like terms: 5z + -4z = 1z
16 + 1z = -1(z + -2) + 2

Reorder the terms:
16 + 1z = -1(-2 + z) + 2
16 + 1z = (-2 * -1 + z * -1) + 2
16 + 1z = (2 + -1z) + 2

Reorder the terms:
16 + 1z = 2 + 2 + -1z

Combine like terms: 2 + 2 = 4
16 + 1z = 4 + -1z

Solving
16 + 1z = 4 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
16 + 1z + z = 4 + -1z + z

Combine like terms: 1z + z = 2z
16 + 2z = 4 + -1z + z

Combine like terms: -1z + z = 0
16 + 2z = 4 + 0
16 + 2z = 4

Add '-16' to each side of the equation.
16 + -16 + 2z = 4 + -16

Combine like terms: 16 + -16 = 0
0 + 2z = 4 + -16
2z = 4 + -16

Combine like terms: 4 + -16 = -12
2z = -12

Divide each side by '2'.
z = -6

Simplifying
z = -6

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