34=4w+2(w-7)

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Solution for 34=4w+2(w-7) equation:


Simplifying
34 = 4w + 2(w + -7)

Reorder the terms:
34 = 4w + 2(-7 + w)
34 = 4w + (-7 * 2 + w * 2)
34 = 4w + (-14 + 2w)

Reorder the terms:
34 = -14 + 4w + 2w

Combine like terms: 4w + 2w = 6w
34 = -14 + 6w

Solving
34 = -14 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
34 + -6w = -14 + 6w + -6w

Combine like terms: 6w + -6w = 0
34 + -6w = -14 + 0
34 + -6w = -14

Add '-34' to each side of the equation.
34 + -34 + -6w = -14 + -34

Combine like terms: 34 + -34 = 0
0 + -6w = -14 + -34
-6w = -14 + -34

Combine like terms: -14 + -34 = -48
-6w = -48

Divide each side by '-6'.
w = 8

Simplifying
w = 8

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