58=2w+(4w+7)

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Solution for 58=2w+(4w+7) equation:


Simplifying
58 = 2w + (4w + 7)

Reorder the terms:
58 = 2w + (7 + 4w)

Remove parenthesis around (7 + 4w)
58 = 2w + 7 + 4w

Reorder the terms:
58 = 7 + 2w + 4w

Combine like terms: 2w + 4w = 6w
58 = 7 + 6w

Solving
58 = 7 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
58 + -6w = 7 + 6w + -6w

Combine like terms: 6w + -6w = 0
58 + -6w = 7 + 0
58 + -6w = 7

Add '-58' to each side of the equation.
58 + -58 + -6w = 7 + -58

Combine like terms: 58 + -58 = 0
0 + -6w = 7 + -58
-6w = 7 + -58

Combine like terms: 7 + -58 = -51
-6w = -51

Divide each side by '-6'.
w = 8.5

Simplifying
w = 8.5

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