3(5Z-1)-3(Z+1)=7(2+1)

Solution for 3(5Z-1)-3(Z+1)=7(2+1) equation:

Simplifying
3(5Z + -1) + -3(Z + 1) = 7(2 + 1)

Reorder the terms:
3(-1 + 5Z) + -3(Z + 1) = 7(2 + 1)
(-1 * 3 + 5Z * 3) + -3(Z + 1) = 7(2 + 1)
(-3 + 15Z) + -3(Z + 1) = 7(2 + 1)

Reorder the terms:
-3 + 15Z + -3(1 + Z) = 7(2 + 1)
-3 + 15Z + (1 * -3 + Z * -3) = 7(2 + 1)
-3 + 15Z + (-3 + -3Z) = 7(2 + 1)

Reorder the terms:
-3 + -3 + 15Z + -3Z = 7(2 + 1)

Combine like terms: -3 + -3 = -6
-6 + 15Z + -3Z = 7(2 + 1)

Combine like terms: 15Z + -3Z = 12Z
-6 + 12Z = 7(2 + 1)

Combine like terms: 2 + 1 = 3
-6 + 12Z = 7(3)

Multiply 7 * 3
-6 + 12Z = 21

Solving
-6 + 12Z = 21

Solving for variable 'Z'.

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

Add '6' to each side of the equation.
-6 + 6 + 12Z = 21 + 6

Combine like terms: -6 + 6 = 0
0 + 12Z = 21 + 6
12Z = 21 + 6

Combine like terms: 21 + 6 = 27
12Z = 27

Divide each side by '12'.
Z = 2.25

Simplifying
Z = 2.25