38=-8w+5(w+4)

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Solution for 38=-8w+5(w+4) equation:


Simplifying
38 = -8w + 5(w + 4)

Reorder the terms:
38 = -8w + 5(4 + w)
38 = -8w + (4 * 5 + w * 5)
38 = -8w + (20 + 5w)

Reorder the terms:
38 = 20 + -8w + 5w

Combine like terms: -8w + 5w = -3w
38 = 20 + -3w

Solving
38 = 20 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
38 + 3w = 20 + -3w + 3w

Combine like terms: -3w + 3w = 0
38 + 3w = 20 + 0
38 + 3w = 20

Add '-38' to each side of the equation.
38 + -38 + 3w = 20 + -38

Combine like terms: 38 + -38 = 0
0 + 3w = 20 + -38
3w = 20 + -38

Combine like terms: 20 + -38 = -18
3w = -18

Divide each side by '3'.
w = -6

Simplifying
w = -6

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