6w+34=2(w+9)

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Solution for 6w+34=2(w+9) equation: 


Simplifying
6w + 34 = 2(w + 9)

Reorder the terms:
34 + 6w = 2(w + 9)

Reorder the terms:
34 + 6w = 2(9 + w)
34 + 6w = (9 * 2 + w * 2)
34 + 6w = (18 + 2w)

Solving
34 + 6w = 18 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
34 + 6w + -2w = 18 + 2w + -2w

Combine like terms: 6w + -2w = 4w
34 + 4w = 18 + 2w + -2w

Combine like terms: 2w + -2w = 0
34 + 4w = 18 + 0
34 + 4w = 18

Add '-34' to each side of the equation.
34 + -34 + 4w = 18 + -34

Combine like terms: 34 + -34 = 0
0 + 4w = 18 + -34
4w = 18 + -34

Combine like terms: 18 + -34 = -16
4w = -16

Divide each side by '4'.
w = -4

Simplifying
w = -4

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