7(w-5)=6(w-9)

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Solution for 7(w-5)=6(w-9) equation:


Simplifying
7(w + -5) = 6(w + -9)

Reorder the terms:
7(-5 + w) = 6(w + -9)
(-5 * 7 + w * 7) = 6(w + -9)
(-35 + 7w) = 6(w + -9)

Reorder the terms:
-35 + 7w = 6(-9 + w)
-35 + 7w = (-9 * 6 + w * 6)
-35 + 7w = (-54 + 6w)

Solving
-35 + 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.
-35 + 7w + -6w = -54 + 6w + -6w

Combine like terms: 7w + -6w = 1w
-35 + 1w = -54 + 6w + -6w

Combine like terms: 6w + -6w = 0
-35 + 1w = -54 + 0
-35 + 1w = -54

Add '35' to each side of the equation.
-35 + 35 + 1w = -54 + 35

Combine like terms: -35 + 35 = 0
0 + 1w = -54 + 35
1w = -54 + 35

Combine like terms: -54 + 35 = -19
1w = -19

Divide each side by '1'.
w = -19

Simplifying
w = -19

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