3(4w+1)-2(3w-2)=0

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Solution for 3(4w+1)-2(3w-2)=0 equation:


Simplifying
3(4w + 1) + -2(3w + -2) = 0

Reorder the terms:
3(1 + 4w) + -2(3w + -2) = 0
(1 * 3 + 4w * 3) + -2(3w + -2) = 0
(3 + 12w) + -2(3w + -2) = 0

Reorder the terms:
3 + 12w + -2(-2 + 3w) = 0
3 + 12w + (-2 * -2 + 3w * -2) = 0
3 + 12w + (4 + -6w) = 0

Reorder the terms:
3 + 4 + 12w + -6w = 0

Combine like terms: 3 + 4 = 7
7 + 12w + -6w = 0

Combine like terms: 12w + -6w = 6w
7 + 6w = 0

Solving
7 + 6w = 0

Solving for variable 'w'.

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

Add '-7' to each side of the equation.
7 + -7 + 6w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6w = 0 + -7
6w = 0 + -7

Combine like terms: 0 + -7 = -7
6w = -7

Divide each side by '6'.
w = -1.166666667

Simplifying
w = -1.166666667

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