7(w-4)=6(9+w)

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Solution for 7(w-4)=6(9+w) equation:


Simplifying
7(w + -4) = 6(9 + w)

Reorder the terms:
7(-4 + w) = 6(9 + w)
(-4 * 7 + w * 7) = 6(9 + w)
(-28 + 7w) = 6(9 + w)
-28 + 7w = (9 * 6 + w * 6)
-28 + 7w = (54 + 6w)

Solving
-28 + 7w = 54 + 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.
-28 + 7w + -6w = 54 + 6w + -6w

Combine like terms: 7w + -6w = 1w
-28 + 1w = 54 + 6w + -6w

Combine like terms: 6w + -6w = 0
-28 + 1w = 54 + 0
-28 + 1w = 54

Add '28' to each side of the equation.
-28 + 28 + 1w = 54 + 28

Combine like terms: -28 + 28 = 0
0 + 1w = 54 + 28
1w = 54 + 28

Combine like terms: 54 + 28 = 82
1w = 82

Divide each side by '1'.
w = 82

Simplifying
w = 82

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