2(w-3)=5w+4-5(-3w-1)

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Solution for 2(w-3)=5w+4-5(-3w-1) equation:


Simplifying
2(w + -3) = 5w + 4 + -5(-3w + -1)

Reorder the terms:
2(-3 + w) = 5w + 4 + -5(-3w + -1)
(-3 * 2 + w * 2) = 5w + 4 + -5(-3w + -1)
(-6 + 2w) = 5w + 4 + -5(-3w + -1)

Reorder the terms:
-6 + 2w = 5w + 4 + -5(-1 + -3w)
-6 + 2w = 5w + 4 + (-1 * -5 + -3w * -5)
-6 + 2w = 5w + 4 + (5 + 15w)

Reorder the terms:
-6 + 2w = 4 + 5 + 5w + 15w

Combine like terms: 4 + 5 = 9
-6 + 2w = 9 + 5w + 15w

Combine like terms: 5w + 15w = 20w
-6 + 2w = 9 + 20w

Solving
-6 + 2w = 9 + 20w

Solving for variable 'w'.

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

Add '-20w' to each side of the equation.
-6 + 2w + -20w = 9 + 20w + -20w

Combine like terms: 2w + -20w = -18w
-6 + -18w = 9 + 20w + -20w

Combine like terms: 20w + -20w = 0
-6 + -18w = 9 + 0
-6 + -18w = 9

Add '6' to each side of the equation.
-6 + 6 + -18w = 9 + 6

Combine like terms: -6 + 6 = 0
0 + -18w = 9 + 6
-18w = 9 + 6

Combine like terms: 9 + 6 = 15
-18w = 15

Divide each side by '-18'.
w = -0.8333333333

Simplifying
w = -0.8333333333

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