2(w+6+9)+2(w+5)=160

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Solution for 2(w+6+9)+2(w+5)=160 equation: 


Simplifying
2(w + 6 + 9) + 2(w + 5) = 160

Reorder the terms:
2(6 + 9 + w) + 2(w + 5) = 160

Combine like terms: 6 + 9 = 15
2(15 + w) + 2(w + 5) = 160
(15 * 2 + w * 2) + 2(w + 5) = 160
(30 + 2w) + 2(w + 5) = 160

Reorder the terms:
30 + 2w + 2(5 + w) = 160
30 + 2w + (5 * 2 + w * 2) = 160
30 + 2w + (10 + 2w) = 160

Reorder the terms:
30 + 10 + 2w + 2w = 160

Combine like terms: 30 + 10 = 40
40 + 2w + 2w = 160

Combine like terms: 2w + 2w = 4w
40 + 4w = 160

Solving
40 + 4w = 160

Solving for variable 'w'.

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

Add '-40' to each side of the equation.
40 + -40 + 4w = 160 + -40

Combine like terms: 40 + -40 = 0
0 + 4w = 160 + -40
4w = 160 + -40

Combine like terms: 160 + -40 = 120
4w = 120

Divide each side by '4'.
w = 30

Simplifying
w = 30

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