4(6+w)=3(5+w)

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Solution for 4(6+w)=3(5+w) equation: 


Simplifying
4(6 + w) = 3(5 + w)
(6 * 4 + w * 4) = 3(5 + w)
(24 + 4w) = 3(5 + w)
24 + 4w = (5 * 3 + w * 3)
24 + 4w = (15 + 3w)

Solving
24 + 4w = 15 + 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 + 4w + -3w = 15 + 3w + -3w

Combine like terms: 4w + -3w = 1w
24 + 1w = 15 + 3w + -3w

Combine like terms: 3w + -3w = 0
24 + 1w = 15 + 0
24 + 1w = 15

Add '-24' to each side of the equation.
24 + -24 + 1w = 15 + -24

Combine like terms: 24 + -24 = 0
0 + 1w = 15 + -24
1w = 15 + -24

Combine like terms: 15 + -24 = -9
1w = -9

Divide each side by '1'.
w = -9

Simplifying
w = -9

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