58=2w-9+3w-18

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Solution for 58=2w-9+3w-18 equation: 


Simplifying
58 = 2w + -9 + 3w + -18

Reorder the terms:
58 = -9 + -18 + 2w + 3w

Combine like terms: -9 + -18 = -27
58 = -27 + 2w + 3w

Combine like terms: 2w + 3w = 5w
58 = -27 + 5w

Solving
58 = -27 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
58 + -5w = -27 + 5w + -5w

Combine like terms: 5w + -5w = 0
58 + -5w = -27 + 0
58 + -5w = -27

Add '-58' to each side of the equation.
58 + -58 + -5w = -27 + -58

Combine like terms: 58 + -58 = 0
0 + -5w = -27 + -58
-5w = -27 + -58

Combine like terms: -27 + -58 = -85
-5w = -85

Divide each side by '-5'.
w = 17

Simplifying
w = 17

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