-5=7(w-3)-5w

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Solution for -5=7(w-3)-5w equation:


Simplifying
-5 = 7(w + -3) + -5w

Reorder the terms:
-5 = 7(-3 + w) + -5w
-5 = (-3 * 7 + w * 7) + -5w
-5 = (-21 + 7w) + -5w

Combine like terms: 7w + -5w = 2w
-5 = -21 + 2w

Solving
-5 = -21 + 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.
-5 + -2w = -21 + 2w + -2w

Combine like terms: 2w + -2w = 0
-5 + -2w = -21 + 0
-5 + -2w = -21

Add '5' to each side of the equation.
-5 + 5 + -2w = -21 + 5

Combine like terms: -5 + 5 = 0
0 + -2w = -21 + 5
-2w = -21 + 5

Combine like terms: -21 + 5 = -16
-2w = -16

Divide each side by '-2'.
w = 8

Simplifying
w = 8

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