6(5z-1)-4(2+6)=3(2+1)

Solution for 6(5z-1)-4(2+6)=3(2+1) equation:

Simplifying
6(5z + -1) + -4(2 + 6) = 3(2 + 1)

Reorder the terms:
6(-1 + 5z) + -4(2 + 6) = 3(2 + 1)
(-1 * 6 + 5z * 6) + -4(2 + 6) = 3(2 + 1)
(-6 + 30z) + -4(2 + 6) = 3(2 + 1)

Combine like terms: 2 + 6 = 8
-6 + 30z + -4(8) = 3(2 + 1)

Multiply -4 * 8
-6 + 30z + -32 = 3(2 + 1)

Reorder the terms:
-6 + -32 + 30z = 3(2 + 1)

Combine like terms: -6 + -32 = -38
-38 + 30z = 3(2 + 1)

Combine like terms: 2 + 1 = 3
-38 + 30z = 3(3)

Multiply 3 * 3
-38 + 30z = 9

Solving
-38 + 30z = 9

Solving for variable 'z'.

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

Add '38' to each side of the equation.
-38 + 38 + 30z = 9 + 38

Combine like terms: -38 + 38 = 0
0 + 30z = 9 + 38
30z = 9 + 38

Combine like terms: 9 + 38 = 47
30z = 47

Divide each side by '30'.
z = 1.566666667

Simplifying
z = 1.566666667