2w+4[7+3w]=-14

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Solution for 2w+4[7+3w]=-14 equation:


Simplifying
2w + 4[7 + 3w] = -14
2w + [7 * 4 + 3w * 4] = -14
2w + [28 + 12w] = -14

Reorder the terms:
28 + 2w + 12w = -14

Combine like terms: 2w + 12w = 14w
28 + 14w = -14

Solving
28 + 14w = -14

Solving for variable 'w'.

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

Add '-28' to each side of the equation.
28 + -28 + 14w = -14 + -28

Combine like terms: 28 + -28 = 0
0 + 14w = -14 + -28
14w = -14 + -28

Combine like terms: -14 + -28 = -42
14w = -42

Divide each side by '14'.
w = -3

Simplifying
w = -3

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