5w-4(w-4)=7(w-3)

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Solution for 5w-4(w-4)=7(w-3) equation: 


Simplifying
5w + -4(w + -4) = 7(w + -3)

Reorder the terms:
5w + -4(-4 + w) = 7(w + -3)
5w + (-4 * -4 + w * -4) = 7(w + -3)
5w + (16 + -4w) = 7(w + -3)

Reorder the terms:
16 + 5w + -4w = 7(w + -3)

Combine like terms: 5w + -4w = 1w
16 + 1w = 7(w + -3)

Reorder the terms:
16 + 1w = 7(-3 + w)
16 + 1w = (-3 * 7 + w * 7)
16 + 1w = (-21 + 7w)

Solving
16 + 1w = -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.
16 + 1w + -7w = -21 + 7w + -7w

Combine like terms: 1w + -7w = -6w
16 + -6w = -21 + 7w + -7w

Combine like terms: 7w + -7w = 0
16 + -6w = -21 + 0
16 + -6w = -21

Add '-16' to each side of the equation.
16 + -16 + -6w = -21 + -16

Combine like terms: 16 + -16 = 0
0 + -6w = -21 + -16
-6w = -21 + -16

Combine like terms: -21 + -16 = -37
-6w = -37

Divide each side by '-6'.
w = 6.166666667

Simplifying
w = 6.166666667

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