5-9(w-8)-4w=17

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Solution for 5-9(w-8)-4w=17 equation:


Simplifying
5 + -9(w + -8) + -4w = 17

Reorder the terms:
5 + -9(-8 + w) + -4w = 17
5 + (-8 * -9 + w * -9) + -4w = 17
5 + (72 + -9w) + -4w = 17

Combine like terms: 5 + 72 = 77
77 + -9w + -4w = 17

Combine like terms: -9w + -4w = -13w
77 + -13w = 17

Solving
77 + -13w = 17

Solving for variable 'w'.

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

Add '-77' to each side of the equation.
77 + -77 + -13w = 17 + -77

Combine like terms: 77 + -77 = 0
0 + -13w = 17 + -77
-13w = 17 + -77

Combine like terms: 17 + -77 = -60
-13w = -60

Divide each side by '-13'.
w = 4.615384615

Simplifying
w = 4.615384615

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