5(6+2w)-6(3+5w)=8

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Solution for 5(6+2w)-6(3+5w)=8 equation: 


Simplifying
5(6 + 2w) + -6(3 + 5w) = 8
(6 * 5 + 2w * 5) + -6(3 + 5w) = 8
(30 + 10w) + -6(3 + 5w) = 8
30 + 10w + (3 * -6 + 5w * -6) = 8
30 + 10w + (-18 + -30w) = 8

Reorder the terms:
30 + -18 + 10w + -30w = 8

Combine like terms: 30 + -18 = 12
12 + 10w + -30w = 8

Combine like terms: 10w + -30w = -20w
12 + -20w = 8

Solving
12 + -20w = 8

Solving for variable 'w'.

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

Add '-12' to each side of the equation.
12 + -12 + -20w = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -20w = 8 + -12
-20w = 8 + -12

Combine like terms: 8 + -12 = -4
-20w = -4

Divide each side by '-20'.
w = 0.2

Simplifying
w = 0.2

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