30-3(2w+1)=6w-3(6+w)

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Solution for 30-3(2w+1)=6w-3(6+w) equation: 


Simplifying
30 + -3(2w + 1) = 6w + -3(6 + w)

Reorder the terms:
30 + -3(1 + 2w) = 6w + -3(6 + w)
30 + (1 * -3 + 2w * -3) = 6w + -3(6 + w)
30 + (-3 + -6w) = 6w + -3(6 + w)

Combine like terms: 30 + -3 = 27
27 + -6w = 6w + -3(6 + w)
27 + -6w = 6w + (6 * -3 + w * -3)
27 + -6w = 6w + (-18 + -3w)

Reorder the terms:
27 + -6w = -18 + 6w + -3w

Combine like terms: 6w + -3w = 3w
27 + -6w = -18 + 3w

Solving
27 + -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.
27 + -6w + -3w = -18 + 3w + -3w

Combine like terms: -6w + -3w = -9w
27 + -9w = -18 + 3w + -3w

Combine like terms: 3w + -3w = 0
27 + -9w = -18 + 0
27 + -9w = -18

Add '-27' to each side of the equation.
27 + -27 + -9w = -18 + -27

Combine like terms: 27 + -27 = 0
0 + -9w = -18 + -27
-9w = -18 + -27

Combine like terms: -18 + -27 = -45
-9w = -45

Divide each side by '-9'.
w = 5

Simplifying
w = 5

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