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 = -14
14w = -14

Divide each side by '14'.
w = -1

Simplifying
w = -1

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