5z+4(6-z)=-(z-5)11

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Solution for 5z+4(6-z)=-(z-5)11 equation:


Simplifying
5z + 4(6 + -1z) = -1(z + -5) * 11
5z + (6 * 4 + -1z * 4) = -1(z + -5) * 11
5z + (24 + -4z) = -1(z + -5) * 11

Reorder the terms:
24 + 5z + -4z = -1(z + -5) * 11

Combine like terms: 5z + -4z = 1z
24 + 1z = -1(z + -5) * 11

Reorder the terms:
24 + 1z = -1(-5 + z) * 11

Reorder the terms for easier multiplication:
24 + 1z = -1 * 11(-5 + z)

Multiply -1 * 11
24 + 1z = -11(-5 + z)
24 + 1z = (-5 * -11 + z * -11)
24 + 1z = (55 + -11z)

Solving
24 + 1z = 55 + -11z

Solving for variable 'z'.

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

Add '11z' to each side of the equation.
24 + 1z + 11z = 55 + -11z + 11z

Combine like terms: 1z + 11z = 12z
24 + 12z = 55 + -11z + 11z

Combine like terms: -11z + 11z = 0
24 + 12z = 55 + 0
24 + 12z = 55

Add '-24' to each side of the equation.
24 + -24 + 12z = 55 + -24

Combine like terms: 24 + -24 = 0
0 + 12z = 55 + -24
12z = 55 + -24

Combine like terms: 55 + -24 = 31
12z = 31

Divide each side by '12'.
z = 2.583333333

Simplifying
z = 2.583333333

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