2w+8(w+6)=28

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Solution for 2w+8(w+6)=28 equation:


Simplifying
2w + 8(w + 6) = 28

Reorder the terms:
2w + 8(6 + w) = 28
2w + (6 * 8 + w * 8) = 28
2w + (48 + 8w) = 28

Reorder the terms:
48 + 2w + 8w = 28

Combine like terms: 2w + 8w = 10w
48 + 10w = 28

Solving
48 + 10w = 28

Solving for variable 'w'.

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

Add '-48' to each side of the equation.
48 + -48 + 10w = 28 + -48

Combine like terms: 48 + -48 = 0
0 + 10w = 28 + -48
10w = 28 + -48

Combine like terms: 28 + -48 = -20
10w = -20

Divide each side by '10'.
w = -2

Simplifying
w = -2

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