30-2(2w+1)=10w-2(10+w)

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Solution for 30-2(2w+1)=10w-2(10+w) equation:


Simplifying
30 + -2(2w + 1) = 10w + -2(10 + w)

Reorder the terms:
30 + -2(1 + 2w) = 10w + -2(10 + w)
30 + (1 * -2 + 2w * -2) = 10w + -2(10 + w)
30 + (-2 + -4w) = 10w + -2(10 + w)

Combine like terms: 30 + -2 = 28
28 + -4w = 10w + -2(10 + w)
28 + -4w = 10w + (10 * -2 + w * -2)
28 + -4w = 10w + (-20 + -2w)

Reorder the terms:
28 + -4w = -20 + 10w + -2w

Combine like terms: 10w + -2w = 8w
28 + -4w = -20 + 8w

Solving
28 + -4w = -20 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
28 + -4w + -8w = -20 + 8w + -8w

Combine like terms: -4w + -8w = -12w
28 + -12w = -20 + 8w + -8w

Combine like terms: 8w + -8w = 0
28 + -12w = -20 + 0
28 + -12w = -20

Add '-28' to each side of the equation.
28 + -28 + -12w = -20 + -28

Combine like terms: 28 + -28 = 0
0 + -12w = -20 + -28
-12w = -20 + -28

Combine like terms: -20 + -28 = -48
-12w = -48

Divide each side by '-12'.
w = 4

Simplifying
w = 4

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