0.3(w+70)=0.7(w+40)+25

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Solution for 0.3(w+70)=0.7(w+40)+25 equation: 


Simplifying
0.3(w + 70) = 0.7(w + 40) + 25

Reorder the terms:
0.3(70 + w) = 0.7(w + 40) + 25
(70 * 0.3 + w * 0.3) = 0.7(w + 40) + 25
(21 + 0.3w) = 0.7(w + 40) + 25

Reorder the terms:
21 + 0.3w = 0.7(40 + w) + 25
21 + 0.3w = (40 * 0.7 + w * 0.7) + 25
21 + 0.3w = (28 + 0.7w) + 25

Reorder the terms:
21 + 0.3w = 28 + 25 + 0.7w

Combine like terms: 28 + 25 = 53
21 + 0.3w = 53 + 0.7w

Solving
21 + 0.3w = 53 + 0.7w

Solving for variable 'w'.

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

Add '-0.7w' to each side of the equation.
21 + 0.3w + -0.7w = 53 + 0.7w + -0.7w

Combine like terms: 0.3w + -0.7w = -0.4w
21 + -0.4w = 53 + 0.7w + -0.7w

Combine like terms: 0.7w + -0.7w = 0.0
21 + -0.4w = 53 + 0.0
21 + -0.4w = 53

Add '-21' to each side of the equation.
21 + -21 + -0.4w = 53 + -21

Combine like terms: 21 + -21 = 0
0 + -0.4w = 53 + -21
-0.4w = 53 + -21

Combine like terms: 53 + -21 = 32
-0.4w = 32

Divide each side by '-0.4'.
w = -80

Simplifying
w = -80

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