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

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


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

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

Reorder the terms:
-0.47 + 0.2w = 0.53 + -0.2(-13 + 2w)
-0.47 + 0.2w = 0.53 + (-13 * -0.2 + 2w * -0.2)
-0.47 + 0.2w = 0.53 + (2.6 + -0.4w)

Combine like terms: 0.53 + 2.6 = 3.13
-0.47 + 0.2w = 3.13 + -0.4w

Solving
-0.47 + 0.2w = 3.13 + -0.4w

Solving for variable 'w'.

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

Add '0.4w' to each side of the equation.
-0.47 + 0.2w + 0.4w = 3.13 + -0.4w + 0.4w

Combine like terms: 0.2w + 0.4w = 0.6w
-0.47 + 0.6w = 3.13 + -0.4w + 0.4w

Combine like terms: -0.4w + 0.4w = 0.0
-0.47 + 0.6w = 3.13 + 0.0
-0.47 + 0.6w = 3.13

Add '0.47' to each side of the equation.
-0.47 + 0.47 + 0.6w = 3.13 + 0.47

Combine like terms: -0.47 + 0.47 = 0.00
0.00 + 0.6w = 3.13 + 0.47
0.6w = 3.13 + 0.47

Combine like terms: 3.13 + 0.47 = 3.6
0.6w = 3.6

Divide each side by '0.6'.
w = 6

Simplifying
w = 6

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