2(4w-1)=3(4w+2)

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Solution for 2(4w-1)=3(4w+2) equation:


Simplifying
2(4w + -1) = 3(4w + 2)

Reorder the terms:
2(-1 + 4w) = 3(4w + 2)
(-1 * 2 + 4w * 2) = 3(4w + 2)
(-2 + 8w) = 3(4w + 2)

Reorder the terms:
-2 + 8w = 3(2 + 4w)
-2 + 8w = (2 * 3 + 4w * 3)
-2 + 8w = (6 + 12w)

Solving
-2 + 8w = 6 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
-2 + 8w + -12w = 6 + 12w + -12w

Combine like terms: 8w + -12w = -4w
-2 + -4w = 6 + 12w + -12w

Combine like terms: 12w + -12w = 0
-2 + -4w = 6 + 0
-2 + -4w = 6

Add '2' to each side of the equation.
-2 + 2 + -4w = 6 + 2

Combine like terms: -2 + 2 = 0
0 + -4w = 6 + 2
-4w = 6 + 2

Combine like terms: 6 + 2 = 8
-4w = 8

Divide each side by '-4'.
w = -2

Simplifying
w = -2

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