11w+2[3w-1]=15w

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Solution for 11w+2[3w-1]=15w equation:


Simplifying
11w + 2[3w + -1] = 15w

Reorder the terms:
11w + 2[-1 + 3w] = 15w
11w + [-1 * 2 + 3w * 2] = 15w
11w + [-2 + 6w] = 15w

Reorder the terms:
-2 + 11w + 6w = 15w

Combine like terms: 11w + 6w = 17w
-2 + 17w = 15w

Solving
-2 + 17w = 15w

Solving for variable 'w'.

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

Add '-15w' to each side of the equation.
-2 + 17w + -15w = 15w + -15w

Combine like terms: 17w + -15w = 2w
-2 + 2w = 15w + -15w

Combine like terms: 15w + -15w = 0
-2 + 2w = 0

Add '2' to each side of the equation.
-2 + 2 + 2w = 0 + 2

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

Combine like terms: 0 + 2 = 2
2w = 2

Divide each side by '2'.
w = 1

Simplifying
w = 1

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