5w+7.7=3.1w+21.19

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Solution for 5w+7.7=3.1w+21.19 equation: 


Simplifying
5w + 7.7 = 3.1w + 21.19

Reorder the terms:
7.7 + 5w = 3.1w + 21.19

Reorder the terms:
7.7 + 5w = 21.19 + 3.1w

Solving
7.7 + 5w = 21.19 + 3.1w

Solving for variable 'w'.

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

Add '-3.1w' to each side of the equation.
7.7 + 5w + -3.1w = 21.19 + 3.1w + -3.1w

Combine like terms: 5w + -3.1w = 1.9w
7.7 + 1.9w = 21.19 + 3.1w + -3.1w

Combine like terms: 3.1w + -3.1w = 0.0
7.7 + 1.9w = 21.19 + 0.0
7.7 + 1.9w = 21.19

Add '-7.7' to each side of the equation.
7.7 + -7.7 + 1.9w = 21.19 + -7.7

Combine like terms: 7.7 + -7.7 = 0.0
0.0 + 1.9w = 21.19 + -7.7
1.9w = 21.19 + -7.7

Combine like terms: 21.19 + -7.7 = 13.49
1.9w = 13.49

Divide each side by '1.9'.
w = 7.1

Simplifying
w = 7.1

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