6(4z-1)-5(z+2)=11(z+1)

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Solution for 6(4z-1)-5(z+2)=11(z+1) equation:


Simplifying
6(4z + -1) + -5(z + 2) = 11(z + 1)

Reorder the terms:
6(-1 + 4z) + -5(z + 2) = 11(z + 1)
(-1 * 6 + 4z * 6) + -5(z + 2) = 11(z + 1)
(-6 + 24z) + -5(z + 2) = 11(z + 1)

Reorder the terms:
-6 + 24z + -5(2 + z) = 11(z + 1)
-6 + 24z + (2 * -5 + z * -5) = 11(z + 1)
-6 + 24z + (-10 + -5z) = 11(z + 1)

Reorder the terms:
-6 + -10 + 24z + -5z = 11(z + 1)

Combine like terms: -6 + -10 = -16
-16 + 24z + -5z = 11(z + 1)

Combine like terms: 24z + -5z = 19z
-16 + 19z = 11(z + 1)

Reorder the terms:
-16 + 19z = 11(1 + z)
-16 + 19z = (1 * 11 + z * 11)
-16 + 19z = (11 + 11z)

Solving
-16 + 19z = 11 + 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.
-16 + 19z + -11z = 11 + 11z + -11z

Combine like terms: 19z + -11z = 8z
-16 + 8z = 11 + 11z + -11z

Combine like terms: 11z + -11z = 0
-16 + 8z = 11 + 0
-16 + 8z = 11

Add '16' to each side of the equation.
-16 + 16 + 8z = 11 + 16

Combine like terms: -16 + 16 = 0
0 + 8z = 11 + 16
8z = 11 + 16

Combine like terms: 11 + 16 = 27
8z = 27

Divide each side by '8'.
z = 3.375

Simplifying
z = 3.375

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