3-2(3w-4)=7(w-4)

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Solution for 3-2(3w-4)=7(w-4) equation:


Simplifying
3 + -2(3w + -4) = 7(w + -4)

Reorder the terms:
3 + -2(-4 + 3w) = 7(w + -4)
3 + (-4 * -2 + 3w * -2) = 7(w + -4)
3 + (8 + -6w) = 7(w + -4)

Combine like terms: 3 + 8 = 11
11 + -6w = 7(w + -4)

Reorder the terms:
11 + -6w = 7(-4 + w)
11 + -6w = (-4 * 7 + w * 7)
11 + -6w = (-28 + 7w)

Solving
11 + -6w = -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.
11 + -6w + -7w = -28 + 7w + -7w

Combine like terms: -6w + -7w = -13w
11 + -13w = -28 + 7w + -7w

Combine like terms: 7w + -7w = 0
11 + -13w = -28 + 0
11 + -13w = -28

Add '-11' to each side of the equation.
11 + -11 + -13w = -28 + -11

Combine like terms: 11 + -11 = 0
0 + -13w = -28 + -11
-13w = -28 + -11

Combine like terms: -28 + -11 = -39
-13w = -39

Divide each side by '-13'.
w = 3

Simplifying
w = 3

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