34-2(2w+1)=5w-2(5+w)

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Solution for 34-2(2w+1)=5w-2(5+w) equation: 


Simplifying
34 + -2(2w + 1) = 5w + -2(5 + w)

Reorder the terms:
34 + -2(1 + 2w) = 5w + -2(5 + w)
34 + (1 * -2 + 2w * -2) = 5w + -2(5 + w)
34 + (-2 + -4w) = 5w + -2(5 + w)

Combine like terms: 34 + -2 = 32
32 + -4w = 5w + -2(5 + w)
32 + -4w = 5w + (5 * -2 + w * -2)
32 + -4w = 5w + (-10 + -2w)

Reorder the terms:
32 + -4w = -10 + 5w + -2w

Combine like terms: 5w + -2w = 3w
32 + -4w = -10 + 3w

Solving
32 + -4w = -10 + 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.
32 + -4w + -3w = -10 + 3w + -3w

Combine like terms: -4w + -3w = -7w
32 + -7w = -10 + 3w + -3w

Combine like terms: 3w + -3w = 0
32 + -7w = -10 + 0
32 + -7w = -10

Add '-32' to each side of the equation.
32 + -32 + -7w = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -7w = -10 + -32
-7w = -10 + -32

Combine like terms: -10 + -32 = -42
-7w = -42

Divide each side by '-7'.
w = 6

Simplifying
w = 6

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