-3(w-7)+8w+1=

Solution for -3(w-7)+8w+1= equation:

Simplifying
-3(w + -7) + 8w + 1 = 0

Reorder the terms:
-3(-7 + w) + 8w + 1 = 0
(-7 * -3 + w * -3) + 8w + 1 = 0
(21 + -3w) + 8w + 1 = 0

Reorder the terms:
21 + 1 + -3w + 8w = 0

Combine like terms: 21 + 1 = 22
22 + -3w + 8w = 0

Combine like terms: -3w + 8w = 5w
22 + 5w = 0

Solving
22 + 5w = 0

Solving for variable 'w'.

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

Add '-22' to each side of the equation.
22 + -22 + 5w = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 5w = 0 + -22
5w = 0 + -22

Combine like terms: 0 + -22 = -22
5w = -22

Divide each side by '5'.
w = -4.4

Simplifying
w = -4.4