6(w+4)=9w+18

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Solution for 6(w+4)=9w+18 equation:


Simplifying
6(w + 4) = 9w + 18

Reorder the terms:
6(4 + w) = 9w + 18
(4 * 6 + w * 6) = 9w + 18
(24 + 6w) = 9w + 18

Reorder the terms:
24 + 6w = 18 + 9w

Solving
24 + 6w = 18 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
24 + 6w + -9w = 18 + 9w + -9w

Combine like terms: 6w + -9w = -3w
24 + -3w = 18 + 9w + -9w

Combine like terms: 9w + -9w = 0
24 + -3w = 18 + 0
24 + -3w = 18

Add '-24' to each side of the equation.
24 + -24 + -3w = 18 + -24

Combine like terms: 24 + -24 = 0
0 + -3w = 18 + -24
-3w = 18 + -24

Combine like terms: 18 + -24 = -6
-3w = -6

Divide each side by '-3'.
w = 2

Simplifying
w = 2

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