13-2(3w-1)=31

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Solution for 13-2(3w-1)=31 equation: 


Simplifying
13 + -2(3w + -1) = 31

Reorder the terms:
13 + -2(-1 + 3w) = 31
13 + (-1 * -2 + 3w * -2) = 31
13 + (2 + -6w) = 31

Combine like terms: 13 + 2 = 15
15 + -6w = 31

Solving
15 + -6w = 31

Solving for variable 'w'.

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

Add '-15' to each side of the equation.
15 + -15 + -6w = 31 + -15

Combine like terms: 15 + -15 = 0
0 + -6w = 31 + -15
-6w = 31 + -15

Combine like terms: 31 + -15 = 16
-6w = 16

Divide each side by '-6'.
w = -2.666666667

Simplifying
w = -2.666666667

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