6(w-2)=7(w-2)

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Solution for 6(w-2)=7(w-2) equation:


Simplifying
6(w + -2) = 7(w + -2)

Reorder the terms:
6(-2 + w) = 7(w + -2)
(-2 * 6 + w * 6) = 7(w + -2)
(-12 + 6w) = 7(w + -2)

Reorder the terms:
-12 + 6w = 7(-2 + w)
-12 + 6w = (-2 * 7 + w * 7)
-12 + 6w = (-14 + 7w)

Solving
-12 + 6w = -14 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
-12 + 6w + -7w = -14 + 7w + -7w

Combine like terms: 6w + -7w = -1w
-12 + -1w = -14 + 7w + -7w

Combine like terms: 7w + -7w = 0
-12 + -1w = -14 + 0
-12 + -1w = -14

Add '12' to each side of the equation.
-12 + 12 + -1w = -14 + 12

Combine like terms: -12 + 12 = 0
0 + -1w = -14 + 12
-1w = -14 + 12

Combine like terms: -14 + 12 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2

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