10-.9(w-17)=.7(w-17)

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Solution for 10-.9(w-17)=.7(w-17) equation: 


Simplifying
10 + -0.9(w + -17) = 0.7(w + -17)

Reorder the terms:
10 + -0.9(-17 + w) = 0.7(w + -17)
10 + (-17 * -0.9 + w * -0.9) = 0.7(w + -17)
10 + (15.3 + -0.9w) = 0.7(w + -17)

Combine like terms: 10 + 15.3 = 25.3
25.3 + -0.9w = 0.7(w + -17)

Reorder the terms:
25.3 + -0.9w = 0.7(-17 + w)
25.3 + -0.9w = (-17 * 0.7 + w * 0.7)
25.3 + -0.9w = (-11.9 + 0.7w)

Solving
25.3 + -0.9w = -11.9 + 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.
25.3 + -0.9w + -0.7w = -11.9 + 0.7w + -0.7w

Combine like terms: -0.9w + -0.7w = -1.6w
25.3 + -1.6w = -11.9 + 0.7w + -0.7w

Combine like terms: 0.7w + -0.7w = 0.0
25.3 + -1.6w = -11.9 + 0.0
25.3 + -1.6w = -11.9

Add '-25.3' to each side of the equation.
25.3 + -25.3 + -1.6w = -11.9 + -25.3

Combine like terms: 25.3 + -25.3 = 0.0
0.0 + -1.6w = -11.9 + -25.3
-1.6w = -11.9 + -25.3

Combine like terms: -11.9 + -25.3 = -37.2
-1.6w = -37.2

Divide each side by '-1.6'.
w = 23.25

Simplifying
w = 23.25

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