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

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


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

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

Combine like terms: 4 + 18 = 22
22 + 6w = 4(w + -3)

Reorder the terms:
22 + 6w = 4(-3 + w)
22 + 6w = (-3 * 4 + w * 4)
22 + 6w = (-12 + 4w)

Solving
22 + 6w = -12 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
22 + 6w + -4w = -12 + 4w + -4w

Combine like terms: 6w + -4w = 2w
22 + 2w = -12 + 4w + -4w

Combine like terms: 4w + -4w = 0
22 + 2w = -12 + 0
22 + 2w = -12

Add '-22' to each side of the equation.
22 + -22 + 2w = -12 + -22

Combine like terms: 22 + -22 = 0
0 + 2w = -12 + -22
2w = -12 + -22

Combine like terms: -12 + -22 = -34
2w = -34

Divide each side by '2'.
w = -17

Simplifying
w = -17

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