6(w-7)-8w=30

Solution for 6(w-7)-8w=30 equation:

Simplifying
6(w + -7) + -8w = 30

Reorder the terms:
6(-7 + w) + -8w = 30
(-7 * 6 + w * 6) + -8w = 30
(-42 + 6w) + -8w = 30

Combine like terms: 6w + -8w = -2w
-42 + -2w = 30

Solving
-42 + -2w = 30

Solving for variable 'w'.

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

Add '42' to each side of the equation.
-42 + 42 + -2w = 30 + 42

Combine like terms: -42 + 42 = 0
0 + -2w = 30 + 42
-2w = 30 + 42

Combine like terms: 30 + 42 = 72
-2w = 72

Divide each side by '-2'.
w = -36

Simplifying
w = -36