1.9(2.1-w)=3.5(3w-8.2)

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Solution for 1.9(2.1-w)=3.5(3w-8.2) equation: 


Simplifying
1.9(2.1 + -1w) = 3.5(3w + -8.2)
(2.1 * 1.9 + -1w * 1.9) = 3.5(3w + -8.2)
(3.99 + -1.9w) = 3.5(3w + -8.2)

Reorder the terms:
3.99 + -1.9w = 3.5(-8.2 + 3w)
3.99 + -1.9w = (-8.2 * 3.5 + 3w * 3.5)
3.99 + -1.9w = (-28.7 + 10.5w)

Solving
3.99 + -1.9w = -28.7 + 10.5w

Solving for variable 'w'.

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

Add '-10.5w' to each side of the equation.
3.99 + -1.9w + -10.5w = -28.7 + 10.5w + -10.5w

Combine like terms: -1.9w + -10.5w = -12.4w
3.99 + -12.4w = -28.7 + 10.5w + -10.5w

Combine like terms: 10.5w + -10.5w = 0.0
3.99 + -12.4w = -28.7 + 0.0
3.99 + -12.4w = -28.7

Add '-3.99' to each side of the equation.
3.99 + -3.99 + -12.4w = -28.7 + -3.99

Combine like terms: 3.99 + -3.99 = 0.00
0.00 + -12.4w = -28.7 + -3.99
-12.4w = -28.7 + -3.99

Combine like terms: -28.7 + -3.99 = -32.69
-12.4w = -32.69

Divide each side by '-12.4'.
w = 2.636290323

Simplifying
w = 2.636290323

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