6(w+4)=3w+9

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Solution for 6(w+4)=3w+9 equation:


Simplifying
6(w + 4) = 3w + 9

Reorder the terms:
6(4 + w) = 3w + 9
(4 * 6 + w * 6) = 3w + 9
(24 + 6w) = 3w + 9

Reorder the terms:
24 + 6w = 9 + 3w

Solving
24 + 6w = 9 + 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.
24 + 6w + -3w = 9 + 3w + -3w

Combine like terms: 6w + -3w = 3w
24 + 3w = 9 + 3w + -3w

Combine like terms: 3w + -3w = 0
24 + 3w = 9 + 0
24 + 3w = 9

Add '-24' to each side of the equation.
24 + -24 + 3w = 9 + -24

Combine like terms: 24 + -24 = 0
0 + 3w = 9 + -24
3w = 9 + -24

Combine like terms: 9 + -24 = -15
3w = -15

Divide each side by '3'.
w = -5

Simplifying
w = -5

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