4.6(3z-1)-2(z+8)=9(z+1)

Solution for 4.6(3z-1)-2(z+8)=9(z+1) equation:

Simplifying
4.6(3z + -1) + -2(z + 8) = 9(z + 1)

Reorder the terms:
4.6(-1 + 3z) + -2(z + 8) = 9(z + 1)
(-1 * 4.6 + 3z * 4.6) + -2(z + 8) = 9(z + 1)
(-4.6 + 13.8z) + -2(z + 8) = 9(z + 1)

Reorder the terms:
-4.6 + 13.8z + -2(8 + z) = 9(z + 1)
-4.6 + 13.8z + (8 * -2 + z * -2) = 9(z + 1)
-4.6 + 13.8z + (-16 + -2z) = 9(z + 1)

Reorder the terms:
-4.6 + -16 + 13.8z + -2z = 9(z + 1)

Combine like terms: -4.6 + -16 = -20.6
-20.6 + 13.8z + -2z = 9(z + 1)

Combine like terms: 13.8z + -2z = 11.8z
-20.6 + 11.8z = 9(z + 1)

Reorder the terms:
-20.6 + 11.8z = 9(1 + z)
-20.6 + 11.8z = (1 * 9 + z * 9)
-20.6 + 11.8z = (9 + 9z)

Solving
-20.6 + 11.8z = 9 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
-20.6 + 11.8z + -9z = 9 + 9z + -9z

Combine like terms: 11.8z + -9z = 2.8z
-20.6 + 2.8z = 9 + 9z + -9z

Combine like terms: 9z + -9z = 0
-20.6 + 2.8z = 9 + 0
-20.6 + 2.8z = 9

Add '20.6' to each side of the equation.
-20.6 + 20.6 + 2.8z = 9 + 20.6

Combine like terms: -20.6 + 20.6 = 0.0
0.0 + 2.8z = 9 + 20.6
2.8z = 9 + 20.6

Combine like terms: 9 + 20.6 = 29.6
2.8z = 29.6

Divide each side by '2.8'.
z = 10.57142857

Simplifying
z = 10.57142857