7w-(-6+2w)=10w-30-(-16)

Solution for 7w-(-6+2w)=10w-30-(-16) equation:

Simplifying
7w + -1(-6 + 2w) = 10w + -30 + -1(-16)
7w + (-6 * -1 + 2w * -1) = 10w + -30 + -1(-16)
7w + (6 + -2w) = 10w + -30 + -1(-16)

Reorder the terms:
6 + 7w + -2w = 10w + -30 + -1(-16)

Combine like terms: 7w + -2w = 5w
6 + 5w = 10w + -30 + -1(-16)

Multiply -1 * -16
6 + 5w = 10w + -30 + 16

Reorder the terms:
6 + 5w = -30 + 16 + 10w

Combine like terms: -30 + 16 = -14
6 + 5w = -14 + 10w

Solving
6 + 5w = -14 + 10w

Solving for variable 'w'.

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

Add '-10w' to each side of the equation.
6 + 5w + -10w = -14 + 10w + -10w

Combine like terms: 5w + -10w = -5w
6 + -5w = -14 + 10w + -10w

Combine like terms: 10w + -10w = 0
6 + -5w = -14 + 0
6 + -5w = -14

Add '-6' to each side of the equation.
6 + -6 + -5w = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -5w = -14 + -6
-5w = -14 + -6

Combine like terms: -14 + -6 = -20
-5w = -20

Divide each side by '-5'.
w = 4

Simplifying
w = 4