3(3w+7)=78

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Solution for 3(3w+7)=78 equation:


Simplifying
3(3w + 7) = 78

Reorder the terms:
3(7 + 3w) = 78
(7 * 3 + 3w * 3) = 78
(21 + 9w) = 78

Solving
21 + 9w = 78

Solving for variable 'w'.

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

Add '-21' to each side of the equation.
21 + -21 + 9w = 78 + -21

Combine like terms: 21 + -21 = 0
0 + 9w = 78 + -21
9w = 78 + -21

Combine like terms: 78 + -21 = 57
9w = 57

Divide each side by '9'.
w = 6.333333333

Simplifying
w = 6.333333333

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