w-(2w+1)=8-(3w+3)

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Solution for w-(2w+1)=8-(3w+3) equation:


Simplifying
w + -1(2w + 1) = 8 + -1(3w + 3)

Reorder the terms:
w + -1(1 + 2w) = 8 + -1(3w + 3)
w + (1 * -1 + 2w * -1) = 8 + -1(3w + 3)
w + (-1 + -2w) = 8 + -1(3w + 3)

Reorder the terms:
-1 + w + -2w = 8 + -1(3w + 3)

Combine like terms: w + -2w = -1w
-1 + -1w = 8 + -1(3w + 3)

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

Combine like terms: 8 + -3 = 5
-1 + -1w = 5 + -3w

Solving
-1 + -1w = 5 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
-1 + -1w + 3w = 5 + -3w + 3w

Combine like terms: -1w + 3w = 2w
-1 + 2w = 5 + -3w + 3w

Combine like terms: -3w + 3w = 0
-1 + 2w = 5 + 0
-1 + 2w = 5

Add '1' to each side of the equation.
-1 + 1 + 2w = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 2w = 5 + 1
2w = 5 + 1

Combine like terms: 5 + 1 = 6
2w = 6

Divide each side by '2'.
w = 3

Simplifying
w = 3

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