3.4(w+2)=2(1.1w+2)+10

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Solution for 3.4(w+2)=2(1.1w+2)+10 equation: 


Simplifying
3.4(w + 2) = 2(1.1w + 2) + 10

Reorder the terms:
3.4(2 + w) = 2(1.1w + 2) + 10
(2 * 3.4 + w * 3.4) = 2(1.1w + 2) + 10
(6.8 + 3.4w) = 2(1.1w + 2) + 10

Reorder the terms:
6.8 + 3.4w = 2(2 + 1.1w) + 10
6.8 + 3.4w = (2 * 2 + 1.1w * 2) + 10
6.8 + 3.4w = (4 + 2.2w) + 10

Reorder the terms:
6.8 + 3.4w = 4 + 10 + 2.2w

Combine like terms: 4 + 10 = 14
6.8 + 3.4w = 14 + 2.2w

Solving
6.8 + 3.4w = 14 + 2.2w

Solving for variable 'w'.

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

Add '-2.2w' to each side of the equation.
6.8 + 3.4w + -2.2w = 14 + 2.2w + -2.2w

Combine like terms: 3.4w + -2.2w = 1.2w
6.8 + 1.2w = 14 + 2.2w + -2.2w

Combine like terms: 2.2w + -2.2w = 0.0
6.8 + 1.2w = 14 + 0.0
6.8 + 1.2w = 14

Add '-6.8' to each side of the equation.
6.8 + -6.8 + 1.2w = 14 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + 1.2w = 14 + -6.8
1.2w = 14 + -6.8

Combine like terms: 14 + -6.8 = 7.2
1.2w = 7.2

Divide each side by '1.2'.
w = 6

Simplifying
w = 6

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