13-0.7(w-9)=0.5(12w-9)

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Solution for 13-0.7(w-9)=0.5(12w-9) equation: 


Simplifying
13 + -0.7(w + -9) = 0.5(12w + -9)

Reorder the terms:
13 + -0.7(-9 + w) = 0.5(12w + -9)
13 + (-9 * -0.7 + w * -0.7) = 0.5(12w + -9)
13 + (6.3 + -0.7w) = 0.5(12w + -9)

Combine like terms: 13 + 6.3 = 19.3
19.3 + -0.7w = 0.5(12w + -9)

Reorder the terms:
19.3 + -0.7w = 0.5(-9 + 12w)
19.3 + -0.7w = (-9 * 0.5 + 12w * 0.5)
19.3 + -0.7w = (-4.5 + 6w)

Solving
19.3 + -0.7w = -4.5 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
19.3 + -0.7w + -6w = -4.5 + 6w + -6w

Combine like terms: -0.7w + -6w = -6.7w
19.3 + -6.7w = -4.5 + 6w + -6w

Combine like terms: 6w + -6w = 0
19.3 + -6.7w = -4.5 + 0
19.3 + -6.7w = -4.5

Add '-19.3' to each side of the equation.
19.3 + -19.3 + -6.7w = -4.5 + -19.3

Combine like terms: 19.3 + -19.3 = 0.0
0.0 + -6.7w = -4.5 + -19.3
-6.7w = -4.5 + -19.3

Combine like terms: -4.5 + -19.3 = -23.8
-6.7w = -23.8

Divide each side by '-6.7'.
w = 3.552238806

Simplifying
w = 3.552238806

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