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

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


Simplifying
5(6 + w) = 4(3 + w)
(6 * 5 + w * 5) = 4(3 + w)
(30 + 5w) = 4(3 + w)
30 + 5w = (3 * 4 + w * 4)
30 + 5w = (12 + 4w)

Solving
30 + 5w = 12 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
30 + 5w + -4w = 12 + 4w + -4w

Combine like terms: 5w + -4w = 1w
30 + 1w = 12 + 4w + -4w

Combine like terms: 4w + -4w = 0
30 + 1w = 12 + 0
30 + 1w = 12

Add '-30' to each side of the equation.
30 + -30 + 1w = 12 + -30

Combine like terms: 30 + -30 = 0
0 + 1w = 12 + -30
1w = 12 + -30

Combine like terms: 12 + -30 = -18
1w = -18

Divide each side by '1'.
w = -18

Simplifying
w = -18

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