0.2(w+9)=0.5w+0.7

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Solution for 0.2(w+9)=0.5w+0.7 equation: 


Simplifying
0.2(w + 9) = 0.5w + 0.7

Reorder the terms:
0.2(9 + w) = 0.5w + 0.7
(9 * 0.2 + w * 0.2) = 0.5w + 0.7
(1.8 + 0.2w) = 0.5w + 0.7

Reorder the terms:
1.8 + 0.2w = 0.7 + 0.5w

Solving
1.8 + 0.2w = 0.7 + 0.5w

Solving for variable 'w'.

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

Add '-0.5w' to each side of the equation.
1.8 + 0.2w + -0.5w = 0.7 + 0.5w + -0.5w

Combine like terms: 0.2w + -0.5w = -0.3w
1.8 + -0.3w = 0.7 + 0.5w + -0.5w

Combine like terms: 0.5w + -0.5w = 0.0
1.8 + -0.3w = 0.7 + 0.0
1.8 + -0.3w = 0.7

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.3w = 0.7 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.3w = 0.7 + -1.8
-0.3w = 0.7 + -1.8

Combine like terms: 0.7 + -1.8 = -1.1
-0.3w = -1.1

Divide each side by '-0.3'.
w = 3.666666667

Simplifying
w = 3.666666667

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