42z+6(-2z-1)=5(2+6)

Solution for 42z+6(-2z-1)=5(2+6) equation:

Simplifying
42z + 6(-2z + -1) = 5(2 + 6)

Reorder the terms:
42z + 6(-1 + -2z) = 5(2 + 6)
42z + (-1 * 6 + -2z * 6) = 5(2 + 6)
42z + (-6 + -12z) = 5(2 + 6)

Reorder the terms:
-6 + 42z + -12z = 5(2 + 6)

Combine like terms: 42z + -12z = 30z
-6 + 30z = 5(2 + 6)

Combine like terms: 2 + 6 = 8
-6 + 30z = 5(8)

Multiply 5 * 8
-6 + 30z = 40

Solving
-6 + 30z = 40

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 + 30z = 40 + 6

Combine like terms: -6 + 6 = 0
0 + 30z = 40 + 6
30z = 40 + 6

Combine like terms: 40 + 6 = 46
30z = 46

Divide each side by '30'.
z = 1.533333333

Simplifying
z = 1.533333333