66=3(3+4w)+2w

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Solution for 66=3(3+4w)+2w equation:


Simplifying
66 = 3(3 + 4w) + 2w
66 = (3 * 3 + 4w * 3) + 2w
66 = (9 + 12w) + 2w

Combine like terms: 12w + 2w = 14w
66 = 9 + 14w

Solving
66 = 9 + 14w

Solving for variable 'w'.

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

Add '-14w' to each side of the equation.
66 + -14w = 9 + 14w + -14w

Combine like terms: 14w + -14w = 0
66 + -14w = 9 + 0
66 + -14w = 9

Add '-66' to each side of the equation.
66 + -66 + -14w = 9 + -66

Combine like terms: 66 + -66 = 0
0 + -14w = 9 + -66
-14w = 9 + -66

Combine like terms: 9 + -66 = -57
-14w = -57

Divide each side by '-14'.
w = 4.071428571

Simplifying
w = 4.071428571

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