0.2w+0.65(4000-w)=0.13(2000)

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Solution for 0.2w+0.65(4000-w)=0.13(2000) equation: 


Simplifying
0.2w + 0.65(4000 + -1w) = 0.13(2000)
0.2w + (4000 * 0.65 + -1w * 0.65) = 0.13(2000)
0.2w + (2600 + -0.65w) = 0.13(2000)

Reorder the terms:
2600 + 0.2w + -0.65w = 0.13(2000)

Combine like terms: 0.2w + -0.65w = -0.45w
2600 + -0.45w = 0.13(2000)

Multiply 0.13 * 2000
2600 + -0.45w = 260

Solving
2600 + -0.45w = 260

Solving for variable 'w'.

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

Add '-2600' to each side of the equation.
2600 + -2600 + -0.45w = 260 + -2600

Combine like terms: 2600 + -2600 = 0
0 + -0.45w = 260 + -2600
-0.45w = 260 + -2600

Combine like terms: 260 + -2600 = -2340
-0.45w = -2340

Divide each side by '-0.45'.
w = 5200

Simplifying
w = 5200

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