3w-13=0.25(52-12w)

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Solution for 3w-13=0.25(52-12w) equation: 


Simplifying
3w + -13 = 0.25(52 + -12w)

Reorder the terms:
-13 + 3w = 0.25(52 + -12w)
-13 + 3w = (52 * 0.25 + -12w * 0.25)
-13 + 3w = (13 + -3w)

Solving
-13 + 3w = 13 + -3w

Solving for variable 'w'.

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

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

Combine like terms: 3w + 3w = 6w
-13 + 6w = 13 + -3w + 3w

Combine like terms: -3w + 3w = 0
-13 + 6w = 13 + 0
-13 + 6w = 13

Add '13' to each side of the equation.
-13 + 13 + 6w = 13 + 13

Combine like terms: -13 + 13 = 0
0 + 6w = 13 + 13
6w = 13 + 13

Combine like terms: 13 + 13 = 26
6w = 26

Divide each side by '6'.
w = 4.333333333

Simplifying
w = 4.333333333

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