7(w-6)-5=-5(-4w+9)-7w

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Solution for 7(w-6)-5=-5(-4w+9)-7w equation:


Simplifying
7(w + -6) + -5 = -5(-4w + 9) + -7w

Reorder the terms:
7(-6 + w) + -5 = -5(-4w + 9) + -7w
(-6 * 7 + w * 7) + -5 = -5(-4w + 9) + -7w
(-42 + 7w) + -5 = -5(-4w + 9) + -7w

Reorder the terms:
-42 + -5 + 7w = -5(-4w + 9) + -7w

Combine like terms: -42 + -5 = -47
-47 + 7w = -5(-4w + 9) + -7w

Reorder the terms:
-47 + 7w = -5(9 + -4w) + -7w
-47 + 7w = (9 * -5 + -4w * -5) + -7w
-47 + 7w = (-45 + 20w) + -7w

Combine like terms: 20w + -7w = 13w
-47 + 7w = -45 + 13w

Solving
-47 + 7w = -45 + 13w

Solving for variable 'w'.

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

Add '-13w' to each side of the equation.
-47 + 7w + -13w = -45 + 13w + -13w

Combine like terms: 7w + -13w = -6w
-47 + -6w = -45 + 13w + -13w

Combine like terms: 13w + -13w = 0
-47 + -6w = -45 + 0
-47 + -6w = -45

Add '47' to each side of the equation.
-47 + 47 + -6w = -45 + 47

Combine like terms: -47 + 47 = 0
0 + -6w = -45 + 47
-6w = -45 + 47

Combine like terms: -45 + 47 = 2
-6w = 2

Divide each side by '-6'.
w = -0.3333333333

Simplifying
w = -0.3333333333

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