7w-4w-w-1=17

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Solution for 7w-4w-w-1=17 equation:


Simplifying
7w + -4w + -1w + -1 = 17

Reorder the terms:
-1 + 7w + -4w + -1w = 17

Combine like terms: 7w + -4w = 3w
-1 + 3w + -1w = 17

Combine like terms: 3w + -1w = 2w
-1 + 2w = 17

Solving
-1 + 2w = 17

Solving for variable 'w'.

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

Add '1' to each side of the equation.
-1 + 1 + 2w = 17 + 1

Combine like terms: -1 + 1 = 0
0 + 2w = 17 + 1
2w = 17 + 1

Combine like terms: 17 + 1 = 18
2w = 18

Divide each side by '2'.
w = 9

Simplifying
w = 9

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