7(5+w)=6(3+w)

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Solution for 7(5+w)=6(3+w) equation:


Simplifying
7(5 + w) = 6(3 + w)
(5 * 7 + w * 7) = 6(3 + w)
(35 + 7w) = 6(3 + w)
35 + 7w = (3 * 6 + w * 6)
35 + 7w = (18 + 6w)

Solving
35 + 7w = 18 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
35 + 7w + -6w = 18 + 6w + -6w

Combine like terms: 7w + -6w = 1w
35 + 1w = 18 + 6w + -6w

Combine like terms: 6w + -6w = 0
35 + 1w = 18 + 0
35 + 1w = 18

Add '-35' to each side of the equation.
35 + -35 + 1w = 18 + -35

Combine like terms: 35 + -35 = 0
0 + 1w = 18 + -35
1w = 18 + -35

Combine like terms: 18 + -35 = -17
1w = -17

Divide each side by '1'.
w = -17

Simplifying
w = -17

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