(3w+4)+w-1=102

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Solution for (3w+4)+w-1=102 equation:


Simplifying
(3w + 4) + w + -1 = 102

Reorder the terms:
(4 + 3w) + w + -1 = 102

Remove parenthesis around (4 + 3w)
4 + 3w + w + -1 = 102

Reorder the terms:
4 + -1 + 3w + w = 102

Combine like terms: 4 + -1 = 3
3 + 3w + w = 102

Combine like terms: 3w + w = 4w
3 + 4w = 102

Solving
3 + 4w = 102

Solving for variable 'w'.

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

Add '-3' to each side of the equation.
3 + -3 + 4w = 102 + -3

Combine like terms: 3 + -3 = 0
0 + 4w = 102 + -3
4w = 102 + -3

Combine like terms: 102 + -3 = 99
4w = 99

Divide each side by '4'.
w = 24.75

Simplifying
w = 24.75

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