3.4w+5-0.5w=-7.6+4.7w

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Solution for 3.4w+5-0.5w=-7.6+4.7w equation:


Simplifying
3.4w + 5 + -0.5w = -7.6 + 4.7w

Reorder the terms:
5 + 3.4w + -0.5w = -7.6 + 4.7w

Combine like terms: 3.4w + -0.5w = 2.9w
5 + 2.9w = -7.6 + 4.7w

Solving
5 + 2.9w = -7.6 + 4.7w

Solving for variable 'w'.

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

Add '-4.7w' to each side of the equation.
5 + 2.9w + -4.7w = -7.6 + 4.7w + -4.7w

Combine like terms: 2.9w + -4.7w = -1.8w
5 + -1.8w = -7.6 + 4.7w + -4.7w

Combine like terms: 4.7w + -4.7w = 0.0
5 + -1.8w = -7.6 + 0.0
5 + -1.8w = -7.6

Add '-5' to each side of the equation.
5 + -5 + -1.8w = -7.6 + -5

Combine like terms: 5 + -5 = 0
0 + -1.8w = -7.6 + -5
-1.8w = -7.6 + -5

Combine like terms: -7.6 + -5 = -12.6
-1.8w = -12.6

Divide each side by '-1.8'.
w = 7

Simplifying
w = 7

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