2w-45=-5(w+2)

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Solution for 2w-45=-5(w+2) equation:


Simplifying
2w + -45 = -5(w + 2)

Reorder the terms:
-45 + 2w = -5(w + 2)

Reorder the terms:
-45 + 2w = -5(2 + w)
-45 + 2w = (2 * -5 + w * -5)
-45 + 2w = (-10 + -5w)

Solving
-45 + 2w = -10 + -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.
-45 + 2w + 5w = -10 + -5w + 5w

Combine like terms: 2w + 5w = 7w
-45 + 7w = -10 + -5w + 5w

Combine like terms: -5w + 5w = 0
-45 + 7w = -10 + 0
-45 + 7w = -10

Add '45' to each side of the equation.
-45 + 45 + 7w = -10 + 45

Combine like terms: -45 + 45 = 0
0 + 7w = -10 + 45
7w = -10 + 45

Combine like terms: -10 + 45 = 35
7w = 35

Divide each side by '7'.
w = 5

Simplifying
w = 5

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