50=2(3w+w)+1

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Solution for 50=2(3w+w)+1 equation:


Simplifying
50 = 2(3w + w) + 1

Combine like terms: 3w + w = 4w
50 = 2(4w) + 1

Remove parenthesis around (4w)
50 = 2 * 4w + 1

Multiply 2 * 4
50 = 8w + 1

Reorder the terms:
50 = 1 + 8w

Solving
50 = 1 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
50 + -8w = 1 + 8w + -8w

Combine like terms: 8w + -8w = 0
50 + -8w = 1 + 0
50 + -8w = 1

Add '-50' to each side of the equation.
50 + -50 + -8w = 1 + -50

Combine like terms: 50 + -50 = 0
0 + -8w = 1 + -50
-8w = 1 + -50

Combine like terms: 1 + -50 = -49
-8w = -49

Divide each side by '-8'.
w = 6.125

Simplifying
w = 6.125

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