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

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Solution for 3(w-6)=7(w+4) equation:


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

Reorder the terms:
3(-6 + w) = 7(w + 4)
(-6 * 3 + w * 3) = 7(w + 4)
(-18 + 3w) = 7(w + 4)

Reorder the terms:
-18 + 3w = 7(4 + w)
-18 + 3w = (4 * 7 + w * 7)
-18 + 3w = (28 + 7w)

Solving
-18 + 3w = 28 + 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.
-18 + 3w + -7w = 28 + 7w + -7w

Combine like terms: 3w + -7w = -4w
-18 + -4w = 28 + 7w + -7w

Combine like terms: 7w + -7w = 0
-18 + -4w = 28 + 0
-18 + -4w = 28

Add '18' to each side of the equation.
-18 + 18 + -4w = 28 + 18

Combine like terms: -18 + 18 = 0
0 + -4w = 28 + 18
-4w = 28 + 18

Combine like terms: 28 + 18 = 46
-4w = 46

Divide each side by '-4'.
w = -11.5

Simplifying
w = -11.5

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