21-3(2w+1)=6w-3(6+w)

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Solution for 21-3(2w+1)=6w-3(6+w) equation: 


Simplifying
21 + -3(2w + 1) = 6w + -3(6 + w)

Reorder the terms:
21 + -3(1 + 2w) = 6w + -3(6 + w)
21 + (1 * -3 + 2w * -3) = 6w + -3(6 + w)
21 + (-3 + -6w) = 6w + -3(6 + w)

Combine like terms: 21 + -3 = 18
18 + -6w = 6w + -3(6 + w)
18 + -6w = 6w + (6 * -3 + w * -3)
18 + -6w = 6w + (-18 + -3w)

Reorder the terms:
18 + -6w = -18 + 6w + -3w

Combine like terms: 6w + -3w = 3w
18 + -6w = -18 + 3w

Solving
18 + -6w = -18 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
18 + -6w + -3w = -18 + 3w + -3w

Combine like terms: -6w + -3w = -9w
18 + -9w = -18 + 3w + -3w

Combine like terms: 3w + -3w = 0
18 + -9w = -18 + 0
18 + -9w = -18

Add '-18' to each side of the equation.
18 + -18 + -9w = -18 + -18

Combine like terms: 18 + -18 = 0
0 + -9w = -18 + -18
-9w = -18 + -18

Combine like terms: -18 + -18 = -36
-9w = -36

Divide each side by '-9'.
w = 4

Simplifying
w = 4

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