12.3-(3.4w-4.5)=5.6(6.7-7.8w)-8.9

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Solution for 12.3-(3.4w-4.5)=5.6(6.7-7.8w)-8.9 equation: 


Simplifying
12.3 + -1(3.4w + -4.5) = 5.6(6.7 + -7.8w) + -8.9

Reorder the terms:
12.3 + -1(-4.5 + 3.4w) = 5.6(6.7 + -7.8w) + -8.9
12.3 + (-4.5 * -1 + 3.4w * -1) = 5.6(6.7 + -7.8w) + -8.9
12.3 + (4.5 + -3.4w) = 5.6(6.7 + -7.8w) + -8.9

Combine like terms: 12.3 + 4.5 = 16.8
16.8 + -3.4w = 5.6(6.7 + -7.8w) + -8.9
16.8 + -3.4w = (6.7 * 5.6 + -7.8w * 5.6) + -8.9
16.8 + -3.4w = (37.52 + -43.68w) + -8.9

Reorder the terms:
16.8 + -3.4w = 37.52 + -8.9 + -43.68w

Combine like terms: 37.52 + -8.9 = 28.62
16.8 + -3.4w = 28.62 + -43.68w

Solving
16.8 + -3.4w = 28.62 + -43.68w

Solving for variable 'w'.

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

Add '43.68w' to each side of the equation.
16.8 + -3.4w + 43.68w = 28.62 + -43.68w + 43.68w

Combine like terms: -3.4w + 43.68w = 40.28w
16.8 + 40.28w = 28.62 + -43.68w + 43.68w

Combine like terms: -43.68w + 43.68w = 0.00
16.8 + 40.28w = 28.62 + 0.00
16.8 + 40.28w = 28.62

Add '-16.8' to each side of the equation.
16.8 + -16.8 + 40.28w = 28.62 + -16.8

Combine like terms: 16.8 + -16.8 = 0.0
0.0 + 40.28w = 28.62 + -16.8
40.28w = 28.62 + -16.8

Combine like terms: 28.62 + -16.8 = 11.82
40.28w = 11.82

Divide each side by '40.28'.
w = 0.2934458788

Simplifying
w = 0.2934458788

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