2(5w+15)-1w+1=3+3w

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Solution for 2(5w+15)-1w+1=3+3w equation:


Simplifying
2(5w + 15) + -1w + 1 = 3 + 3w

Reorder the terms:
2(15 + 5w) + -1w + 1 = 3 + 3w
(15 * 2 + 5w * 2) + -1w + 1 = 3 + 3w
(30 + 10w) + -1w + 1 = 3 + 3w

Reorder the terms:
30 + 1 + 10w + -1w = 3 + 3w

Combine like terms: 30 + 1 = 31
31 + 10w + -1w = 3 + 3w

Combine like terms: 10w + -1w = 9w
31 + 9w = 3 + 3w

Solving
31 + 9w = 3 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
31 + 9w + -3w = 3 + 3w + -3w

Combine like terms: 9w + -3w = 6w
31 + 6w = 3 + 3w + -3w

Combine like terms: 3w + -3w = 0
31 + 6w = 3 + 0
31 + 6w = 3

Add '-31' to each side of the equation.
31 + -31 + 6w = 3 + -31

Combine like terms: 31 + -31 = 0
0 + 6w = 3 + -31
6w = 3 + -31

Combine like terms: 3 + -31 = -28
6w = -28

Divide each side by '6'.
w = -4.666666667

Simplifying
w = -4.666666667

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