6w-4(w+5)=7(w-2)-7

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Solution for 6w-4(w+5)=7(w-2)-7 equation: 


Simplifying
6w + -4(w + 5) = 7(w + -2) + -7

Reorder the terms:
6w + -4(5 + w) = 7(w + -2) + -7
6w + (5 * -4 + w * -4) = 7(w + -2) + -7
6w + (-20 + -4w) = 7(w + -2) + -7

Reorder the terms:
-20 + 6w + -4w = 7(w + -2) + -7

Combine like terms: 6w + -4w = 2w
-20 + 2w = 7(w + -2) + -7

Reorder the terms:
-20 + 2w = 7(-2 + w) + -7
-20 + 2w = (-2 * 7 + w * 7) + -7
-20 + 2w = (-14 + 7w) + -7

Reorder the terms:
-20 + 2w = -14 + -7 + 7w

Combine like terms: -14 + -7 = -21
-20 + 2w = -21 + 7w

Solving
-20 + 2w = -21 + 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.
-20 + 2w + -7w = -21 + 7w + -7w

Combine like terms: 2w + -7w = -5w
-20 + -5w = -21 + 7w + -7w

Combine like terms: 7w + -7w = 0
-20 + -5w = -21 + 0
-20 + -5w = -21

Add '20' to each side of the equation.
-20 + 20 + -5w = -21 + 20

Combine like terms: -20 + 20 = 0
0 + -5w = -21 + 20
-5w = -21 + 20

Combine like terms: -21 + 20 = -1
-5w = -1

Divide each side by '-5'.
w = 0.2

Simplifying
w = 0.2

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