4(3w-5)-3(2w-6)=22

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Solution for 4(3w-5)-3(2w-6)=22 equation: 


Simplifying
4(3w + -5) + -3(2w + -6) = 22

Reorder the terms:
4(-5 + 3w) + -3(2w + -6) = 22
(-5 * 4 + 3w * 4) + -3(2w + -6) = 22
(-20 + 12w) + -3(2w + -6) = 22

Reorder the terms:
-20 + 12w + -3(-6 + 2w) = 22
-20 + 12w + (-6 * -3 + 2w * -3) = 22
-20 + 12w + (18 + -6w) = 22

Reorder the terms:
-20 + 18 + 12w + -6w = 22

Combine like terms: -20 + 18 = -2
-2 + 12w + -6w = 22

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

Solving
-2 + 6w = 22

Solving for variable 'w'.

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

Add '2' to each side of the equation.
-2 + 2 + 6w = 22 + 2

Combine like terms: -2 + 2 = 0
0 + 6w = 22 + 2
6w = 22 + 2

Combine like terms: 22 + 2 = 24
6w = 24

Divide each side by '6'.
w = 4

Simplifying
w = 4

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