5w+2=-1+3(w-10)

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Solution for 5w+2=-1+3(w-10) equation: 


Simplifying
5w + 2 = -1 + 3(w + -10)

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

Reorder the terms:
2 + 5w = -1 + 3(-10 + w)
2 + 5w = -1 + (-10 * 3 + w * 3)
2 + 5w = -1 + (-30 + 3w)

Combine like terms: -1 + -30 = -31
2 + 5w = -31 + 3w

Solving
2 + 5w = -31 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
2 + 5w + -3w = -31 + 3w + -3w

Combine like terms: 5w + -3w = 2w
2 + 2w = -31 + 3w + -3w

Combine like terms: 3w + -3w = 0
2 + 2w = -31 + 0
2 + 2w = -31

Add '-2' to each side of the equation.
2 + -2 + 2w = -31 + -2

Combine like terms: 2 + -2 = 0
0 + 2w = -31 + -2
2w = -31 + -2

Combine like terms: -31 + -2 = -33
2w = -33

Divide each side by '2'.
w = -16.5

Simplifying
w = -16.5

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