3(6z-1)-5(z+7)=9(z+1)

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Solution for 3(6z-1)-5(z+7)=9(z+1) equation:


Simplifying
3(6z + -1) + -5(z + 7) = 9(z + 1)

Reorder the terms:
3(-1 + 6z) + -5(z + 7) = 9(z + 1)
(-1 * 3 + 6z * 3) + -5(z + 7) = 9(z + 1)
(-3 + 18z) + -5(z + 7) = 9(z + 1)

Reorder the terms:
-3 + 18z + -5(7 + z) = 9(z + 1)
-3 + 18z + (7 * -5 + z * -5) = 9(z + 1)
-3 + 18z + (-35 + -5z) = 9(z + 1)

Reorder the terms:
-3 + -35 + 18z + -5z = 9(z + 1)

Combine like terms: -3 + -35 = -38
-38 + 18z + -5z = 9(z + 1)

Combine like terms: 18z + -5z = 13z
-38 + 13z = 9(z + 1)

Reorder the terms:
-38 + 13z = 9(1 + z)
-38 + 13z = (1 * 9 + z * 9)
-38 + 13z = (9 + 9z)

Solving
-38 + 13z = 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.
-38 + 13z + -9z = 9 + 9z + -9z

Combine like terms: 13z + -9z = 4z
-38 + 4z = 9 + 9z + -9z

Combine like terms: 9z + -9z = 0
-38 + 4z = 9 + 0
-38 + 4z = 9

Add '38' to each side of the equation.
-38 + 38 + 4z = 9 + 38

Combine like terms: -38 + 38 = 0
0 + 4z = 9 + 38
4z = 9 + 38

Combine like terms: 9 + 38 = 47
4z = 47

Divide each side by '4'.
z = 11.75

Simplifying
z = 11.75

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