33-2(2w+1)=7w-2(7+4)

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Solution for 33-2(2w+1)=7w-2(7+4) equation: 


Simplifying
33 + -2(2w + 1) = 7w + -2(7 + 4)

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

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

Combine like terms: 7 + 4 = 11
31 + -4w = 7w + -2(11)

Multiply -2 * 11
31 + -4w = 7w + -22

Reorder the terms:
31 + -4w = -22 + 7w

Solving
31 + -4w = -22 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
31 + -4w + -7w = -22 + 7w + -7w

Combine like terms: -4w + -7w = -11w
31 + -11w = -22 + 7w + -7w

Combine like terms: 7w + -7w = 0
31 + -11w = -22 + 0
31 + -11w = -22

Add '-31' to each side of the equation.
31 + -31 + -11w = -22 + -31

Combine like terms: 31 + -31 = 0
0 + -11w = -22 + -31
-11w = -22 + -31

Combine like terms: -22 + -31 = -53
-11w = -53

Divide each side by '-11'.
w = 4.818181818

Simplifying
w = 4.818181818

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