6(3+w)=5(2+w)

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Solution for 6(3+w)=5(2+w) equation:


Simplifying
6(3 + w) = 5(2 + w)
(3 * 6 + w * 6) = 5(2 + w)
(18 + 6w) = 5(2 + w)
18 + 6w = (2 * 5 + w * 5)
18 + 6w = (10 + 5w)

Solving
18 + 6w = 10 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
18 + 6w + -5w = 10 + 5w + -5w

Combine like terms: 6w + -5w = 1w
18 + 1w = 10 + 5w + -5w

Combine like terms: 5w + -5w = 0
18 + 1w = 10 + 0
18 + 1w = 10

Add '-18' to each side of the equation.
18 + -18 + 1w = 10 + -18

Combine like terms: 18 + -18 = 0
0 + 1w = 10 + -18
1w = 10 + -18

Combine like terms: 10 + -18 = -8
1w = -8

Divide each side by '1'.
w = -8

Simplifying
w = -8

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