5w-4=4(w-7)

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


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

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

Reorder the terms:
-4 + 5w = 4(-7 + w)
-4 + 5w = (-7 * 4 + w * 4)
-4 + 5w = (-28 + 4w)

Solving
-4 + 5w = -28 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
-4 + 5w + -4w = -28 + 4w + -4w

Combine like terms: 5w + -4w = 1w
-4 + 1w = -28 + 4w + -4w

Combine like terms: 4w + -4w = 0
-4 + 1w = -28 + 0
-4 + 1w = -28

Add '4' to each side of the equation.
-4 + 4 + 1w = -28 + 4

Combine like terms: -4 + 4 = 0
0 + 1w = -28 + 4
1w = -28 + 4

Combine like terms: -28 + 4 = -24
1w = -24

Divide each side by '1'.
w = -24

Simplifying
w = -24

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