30=6(w+3)-3w

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


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

Reorder the terms:
30 = 6(3 + w) + -3w
30 = (3 * 6 + w * 6) + -3w
30 = (18 + 6w) + -3w

Combine like terms: 6w + -3w = 3w
30 = 18 + 3w

Solving
30 = 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.
30 + -3w = 18 + 3w + -3w

Combine like terms: 3w + -3w = 0
30 + -3w = 18 + 0
30 + -3w = 18

Add '-30' to each side of the equation.
30 + -30 + -3w = 18 + -30

Combine like terms: 30 + -30 = 0
0 + -3w = 18 + -30
-3w = 18 + -30

Combine like terms: 18 + -30 = -12
-3w = -12

Divide each side by '-3'.
w = 4

Simplifying
w = 4

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