40-3(2w+1)=10w-4(10+w)

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Solution for 40-3(2w+1)=10w-4(10+w) equation: 


Simplifying
40 + -3(2w + 1) = 10w + -4(10 + w)

Reorder the terms:
40 + -3(1 + 2w) = 10w + -4(10 + w)
40 + (1 * -3 + 2w * -3) = 10w + -4(10 + w)
40 + (-3 + -6w) = 10w + -4(10 + w)

Combine like terms: 40 + -3 = 37
37 + -6w = 10w + -4(10 + w)
37 + -6w = 10w + (10 * -4 + w * -4)
37 + -6w = 10w + (-40 + -4w)

Reorder the terms:
37 + -6w = -40 + 10w + -4w

Combine like terms: 10w + -4w = 6w
37 + -6w = -40 + 6w

Solving
37 + -6w = -40 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
37 + -6w + -6w = -40 + 6w + -6w

Combine like terms: -6w + -6w = -12w
37 + -12w = -40 + 6w + -6w

Combine like terms: 6w + -6w = 0
37 + -12w = -40 + 0
37 + -12w = -40

Add '-37' to each side of the equation.
37 + -37 + -12w = -40 + -37

Combine like terms: 37 + -37 = 0
0 + -12w = -40 + -37
-12w = -40 + -37

Combine like terms: -40 + -37 = -77
-12w = -77

Divide each side by '-12'.
w = 6.416666667

Simplifying
w = 6.416666667

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