33-2(2w+1)=7w-2(7+w)

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Solution for 33-2(2w+1)=7w-2(7+w) equation:


Simplifying
33 + -2(2w + 1) = 7w + -2(7 + w)

Reorder the terms:
33 + -2(1 + 2w) = 7w + -2(7 + w)
33 + (1 * -2 + 2w * -2) = 7w + -2(7 + w)
33 + (-2 + -4w) = 7w + -2(7 + w)

Combine like terms: 33 + -2 = 31
31 + -4w = 7w + -2(7 + w)
31 + -4w = 7w + (7 * -2 + w * -2)
31 + -4w = 7w + (-14 + -2w)

Reorder the terms:
31 + -4w = -14 + 7w + -2w

Combine like terms: 7w + -2w = 5w
31 + -4w = -14 + 5w

Solving
31 + -4w = -14 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
31 + -4w + -5w = -14 + 5w + -5w

Combine like terms: -4w + -5w = -9w
31 + -9w = -14 + 5w + -5w

Combine like terms: 5w + -5w = 0
31 + -9w = -14 + 0
31 + -9w = -14

Add '-31' to each side of the equation.
31 + -31 + -9w = -14 + -31

Combine like terms: 31 + -31 = 0
0 + -9w = -14 + -31
-9w = -14 + -31

Combine like terms: -14 + -31 = -45
-9w = -45

Divide each side by '-9'.
w = 5

Simplifying
w = 5

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