37=38-7(-2-3w)

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Solution for 37=38-7(-2-3w) equation:


Simplifying
37 = 38 + -7(-2 + -3w)
37 = 38 + (-2 * -7 + -3w * -7)
37 = 38 + (14 + 21w)

Combine like terms: 38 + 14 = 52
37 = 52 + 21w

Solving
37 = 52 + 21w

Solving for variable 'w'.

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

Add '-21w' to each side of the equation.
37 + -21w = 52 + 21w + -21w

Combine like terms: 21w + -21w = 0
37 + -21w = 52 + 0
37 + -21w = 52

Add '-37' to each side of the equation.
37 + -37 + -21w = 52 + -37

Combine like terms: 37 + -37 = 0
0 + -21w = 52 + -37
-21w = 52 + -37

Combine like terms: 52 + -37 = 15
-21w = 15

Divide each side by '-21'.
w = -0.7142857143

Simplifying
w = -0.7142857143

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