7w-13=4(w-1)

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Solution for 7w-13=4(w-1) equation:


Simplifying
7w + -13 = 4(w + -1)

Reorder the terms:
-13 + 7w = 4(w + -1)

Reorder the terms:
-13 + 7w = 4(-1 + w)
-13 + 7w = (-1 * 4 + w * 4)
-13 + 7w = (-4 + 4w)

Solving
-13 + 7w = -4 + 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.
-13 + 7w + -4w = -4 + 4w + -4w

Combine like terms: 7w + -4w = 3w
-13 + 3w = -4 + 4w + -4w

Combine like terms: 4w + -4w = 0
-13 + 3w = -4 + 0
-13 + 3w = -4

Add '13' to each side of the equation.
-13 + 13 + 3w = -4 + 13

Combine like terms: -13 + 13 = 0
0 + 3w = -4 + 13
3w = -4 + 13

Combine like terms: -4 + 13 = 9
3w = 9

Divide each side by '3'.
w = 3

Simplifying
w = 3

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