5z+4(6-z)=-(z-2)+18

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Solution for 5z+4(6-z)=-(z-2)+18 equation:


Simplifying
5z + 4(6 + -1z) = -1(z + -2) + 18
5z + (6 * 4 + -1z * 4) = -1(z + -2) + 18
5z + (24 + -4z) = -1(z + -2) + 18

Reorder the terms:
24 + 5z + -4z = -1(z + -2) + 18

Combine like terms: 5z + -4z = 1z
24 + 1z = -1(z + -2) + 18

Reorder the terms:
24 + 1z = -1(-2 + z) + 18
24 + 1z = (-2 * -1 + z * -1) + 18
24 + 1z = (2 + -1z) + 18

Reorder the terms:
24 + 1z = 2 + 18 + -1z

Combine like terms: 2 + 18 = 20
24 + 1z = 20 + -1z

Solving
24 + 1z = 20 + -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.
24 + 1z + z = 20 + -1z + z

Combine like terms: 1z + z = 2z
24 + 2z = 20 + -1z + z

Combine like terms: -1z + z = 0
24 + 2z = 20 + 0
24 + 2z = 20

Add '-24' to each side of the equation.
24 + -24 + 2z = 20 + -24

Combine like terms: 24 + -24 = 0
0 + 2z = 20 + -24
2z = 20 + -24

Combine like terms: 20 + -24 = -4
2z = -4

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

Simplifying
z = -2

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