0.2w-0.47=0.53-(2w-13)

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Solution for 0.2w-0.47=0.53-(2w-13) equation: 


Simplifying
0.2w + -0.47 = 0.53 + -1(2w + -13)

Reorder the terms:
-0.47 + 0.2w = 0.53 + -1(2w + -13)

Reorder the terms:
-0.47 + 0.2w = 0.53 + -1(-13 + 2w)
-0.47 + 0.2w = 0.53 + (-13 * -1 + 2w * -1)
-0.47 + 0.2w = 0.53 + (13 + -2w)

Combine like terms: 0.53 + 13 = 13.53
-0.47 + 0.2w = 13.53 + -2w

Solving
-0.47 + 0.2w = 13.53 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
-0.47 + 0.2w + 2w = 13.53 + -2w + 2w

Combine like terms: 0.2w + 2w = 2.2w
-0.47 + 2.2w = 13.53 + -2w + 2w

Combine like terms: -2w + 2w = 0
-0.47 + 2.2w = 13.53 + 0
-0.47 + 2.2w = 13.53

Add '0.47' to each side of the equation.
-0.47 + 0.47 + 2.2w = 13.53 + 0.47

Combine like terms: -0.47 + 0.47 = 0.00
0.00 + 2.2w = 13.53 + 0.47
2.2w = 13.53 + 0.47

Combine like terms: 13.53 + 0.47 = 14
2.2w = 14

Divide each side by '2.2'.
w = 6.363636364

Simplifying
w = 6.363636364

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