2(z+20)+3(6)=10

Solution for 2(z+20)+3(6)=10 equation:

Simplifying
2(z + 20) + 3(6) = 10

Reorder the terms:
2(20 + z) + 3(6) = 10
(20 * 2 + z * 2) + 3(6) = 10
(40 + 2z) + 3(6) = 10

Multiply 3 * 6
40 + 2z + 18 = 10

Reorder the terms:
40 + 18 + 2z = 10

Combine like terms: 40 + 18 = 58
58 + 2z = 10

Solving
58 + 2z = 10

Solving for variable 'z'.

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

Add '-58' to each side of the equation.
58 + -58 + 2z = 10 + -58

Combine like terms: 58 + -58 = 0
0 + 2z = 10 + -58
2z = 10 + -58

Combine like terms: 10 + -58 = -48
2z = -48

Divide each side by '2'.
z = -24

Simplifying
z = -24