5w-43=-7(w+1)

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Solution for 5w-43=-7(w+1) equation:


Simplifying
5w + -43 = -7(w + 1)

Reorder the terms:
-43 + 5w = -7(w + 1)

Reorder the terms:
-43 + 5w = -7(1 + w)
-43 + 5w = (1 * -7 + w * -7)
-43 + 5w = (-7 + -7w)

Solving
-43 + 5w = -7 + -7w

Solving for variable 'w'.

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

Add '7w' to each side of the equation.
-43 + 5w + 7w = -7 + -7w + 7w

Combine like terms: 5w + 7w = 12w
-43 + 12w = -7 + -7w + 7w

Combine like terms: -7w + 7w = 0
-43 + 12w = -7 + 0
-43 + 12w = -7

Add '43' to each side of the equation.
-43 + 43 + 12w = -7 + 43

Combine like terms: -43 + 43 = 0
0 + 12w = -7 + 43
12w = -7 + 43

Combine like terms: -7 + 43 = 36
12w = 36

Divide each side by '12'.
w = 3

Simplifying
w = 3

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