6w-38=-5(w+1)

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Solution for 6w-38=-5(w+1) equation:


Simplifying
6w + -38 = -5(w + 1)

Reorder the terms:
-38 + 6w = -5(w + 1)

Reorder the terms:
-38 + 6w = -5(1 + w)
-38 + 6w = (1 * -5 + w * -5)
-38 + 6w = (-5 + -5w)

Solving
-38 + 6w = -5 + -5w

Solving for variable 'w'.

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

Add '5w' to each side of the equation.
-38 + 6w + 5w = -5 + -5w + 5w

Combine like terms: 6w + 5w = 11w
-38 + 11w = -5 + -5w + 5w

Combine like terms: -5w + 5w = 0
-38 + 11w = -5 + 0
-38 + 11w = -5

Add '38' to each side of the equation.
-38 + 38 + 11w = -5 + 38

Combine like terms: -38 + 38 = 0
0 + 11w = -5 + 38
11w = -5 + 38

Combine like terms: -5 + 38 = 33
11w = 33

Divide each side by '11'.
w = 3

Simplifying
w = 3

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