40-3(2w+1)=11w-3(11+w)

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Solution for 40-3(2w+1)=11w-3(11+w) equation: 


Simplifying
40 + -3(2w + 1) = 11w + -3(11 + w)

Reorder the terms:
40 + -3(1 + 2w) = 11w + -3(11 + w)
40 + (1 * -3 + 2w * -3) = 11w + -3(11 + w)
40 + (-3 + -6w) = 11w + -3(11 + w)

Combine like terms: 40 + -3 = 37
37 + -6w = 11w + -3(11 + w)
37 + -6w = 11w + (11 * -3 + w * -3)
37 + -6w = 11w + (-33 + -3w)

Reorder the terms:
37 + -6w = -33 + 11w + -3w

Combine like terms: 11w + -3w = 8w
37 + -6w = -33 + 8w

Solving
37 + -6w = -33 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
37 + -6w + -8w = -33 + 8w + -8w

Combine like terms: -6w + -8w = -14w
37 + -14w = -33 + 8w + -8w

Combine like terms: 8w + -8w = 0
37 + -14w = -33 + 0
37 + -14w = -33

Add '-37' to each side of the equation.
37 + -37 + -14w = -33 + -37

Combine like terms: 37 + -37 = 0
0 + -14w = -33 + -37
-14w = -33 + -37

Combine like terms: -33 + -37 = -70
-14w = -70

Divide each side by '-14'.
w = 5

Simplifying
w = 5

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