6(w+6)=57+3w

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Solution for 6(w+6)=57+3w equation:


Simplifying
6(w + 6) = 57 + 3w

Reorder the terms:
6(6 + w) = 57 + 3w
(6 * 6 + w * 6) = 57 + 3w
(36 + 6w) = 57 + 3w

Solving
36 + 6w = 57 + 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.
36 + 6w + -3w = 57 + 3w + -3w

Combine like terms: 6w + -3w = 3w
36 + 3w = 57 + 3w + -3w

Combine like terms: 3w + -3w = 0
36 + 3w = 57 + 0
36 + 3w = 57

Add '-36' to each side of the equation.
36 + -36 + 3w = 57 + -36

Combine like terms: 36 + -36 = 0
0 + 3w = 57 + -36
3w = 57 + -36

Combine like terms: 57 + -36 = 21
3w = 21

Divide each side by '3'.
w = 7

Simplifying
w = 7

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