2w+3(1-2w)=2w-9

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Solution for 2w+3(1-2w)=2w-9 equation:


Simplifying
2w + 3(1 + -2w) = 2w + -9
2w + (1 * 3 + -2w * 3) = 2w + -9
2w + (3 + -6w) = 2w + -9

Reorder the terms:
3 + 2w + -6w = 2w + -9

Combine like terms: 2w + -6w = -4w
3 + -4w = 2w + -9

Reorder the terms:
3 + -4w = -9 + 2w

Solving
3 + -4w = -9 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
3 + -4w + -2w = -9 + 2w + -2w

Combine like terms: -4w + -2w = -6w
3 + -6w = -9 + 2w + -2w

Combine like terms: 2w + -2w = 0
3 + -6w = -9 + 0
3 + -6w = -9

Add '-3' to each side of the equation.
3 + -3 + -6w = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -6w = -9 + -3
-6w = -9 + -3

Combine like terms: -9 + -3 = -12
-6w = -12

Divide each side by '-6'.
w = 2

Simplifying
w = 2

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