-7w-24=-2(w-3)

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Solution for -7w-24=-2(w-3) equation:


Simplifying
-7w + -24 = -2(w + -3)

Reorder the terms:
-24 + -7w = -2(w + -3)

Reorder the terms:
-24 + -7w = -2(-3 + w)
-24 + -7w = (-3 * -2 + w * -2)
-24 + -7w = (6 + -2w)

Solving
-24 + -7w = 6 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
-24 + -7w + 2w = 6 + -2w + 2w

Combine like terms: -7w + 2w = -5w
-24 + -5w = 6 + -2w + 2w

Combine like terms: -2w + 2w = 0
-24 + -5w = 6 + 0
-24 + -5w = 6

Add '24' to each side of the equation.
-24 + 24 + -5w = 6 + 24

Combine like terms: -24 + 24 = 0
0 + -5w = 6 + 24
-5w = 6 + 24

Combine like terms: 6 + 24 = 30
-5w = 30

Divide each side by '-5'.
w = -6

Simplifying
w = -6

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