5w-4=-6(w-3)

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Solution for 5w-4=-6(w-3) equation:


Simplifying
5w + -4 = -6(w + -3)

Reorder the terms:
-4 + 5w = -6(w + -3)

Reorder the terms:
-4 + 5w = -6(-3 + w)
-4 + 5w = (-3 * -6 + w * -6)
-4 + 5w = (18 + -6w)

Solving
-4 + 5w = 18 + -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.
-4 + 5w + 6w = 18 + -6w + 6w

Combine like terms: 5w + 6w = 11w
-4 + 11w = 18 + -6w + 6w

Combine like terms: -6w + 6w = 0
-4 + 11w = 18 + 0
-4 + 11w = 18

Add '4' to each side of the equation.
-4 + 4 + 11w = 18 + 4

Combine like terms: -4 + 4 = 0
0 + 11w = 18 + 4
11w = 18 + 4

Combine like terms: 18 + 4 = 22
11w = 22

Divide each side by '11'.
w = 2

Simplifying
w = 2

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