3w+1=4w+8

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Solution for 3w+1=4w+8 equation:


Simplifying
3w + 1 = 4w + 8

Reorder the terms:
1 + 3w = 4w + 8

Reorder the terms:
1 + 3w = 8 + 4w

Solving
1 + 3w = 8 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
1 + 3w + -4w = 8 + 4w + -4w

Combine like terms: 3w + -4w = -1w
1 + -1w = 8 + 4w + -4w

Combine like terms: 4w + -4w = 0
1 + -1w = 8 + 0
1 + -1w = 8

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

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

Combine like terms: 8 + -1 = 7
-1w = 7

Divide each side by '-1'.
w = -7

Simplifying
w = -7

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