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

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


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

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

Reorder the terms:
-15 + 3w = 3w + 1 + -2(-1 + -5w)
-15 + 3w = 3w + 1 + (-1 * -2 + -5w * -2)
-15 + 3w = 3w + 1 + (2 + 10w)

Reorder the terms:
-15 + 3w = 1 + 2 + 3w + 10w

Combine like terms: 1 + 2 = 3
-15 + 3w = 3 + 3w + 10w

Combine like terms: 3w + 10w = 13w
-15 + 3w = 3 + 13w

Solving
-15 + 3w = 3 + 13w

Solving for variable 'w'.

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

Add '-13w' to each side of the equation.
-15 + 3w + -13w = 3 + 13w + -13w

Combine like terms: 3w + -13w = -10w
-15 + -10w = 3 + 13w + -13w

Combine like terms: 13w + -13w = 0
-15 + -10w = 3 + 0
-15 + -10w = 3

Add '15' to each side of the equation.
-15 + 15 + -10w = 3 + 15

Combine like terms: -15 + 15 = 0
0 + -10w = 3 + 15
-10w = 3 + 15

Combine like terms: 3 + 15 = 18
-10w = 18

Divide each side by '-10'.
w = -1.8

Simplifying
w = -1.8

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