5w+1=8(w-1)

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Solution for 5w+1=8(w-1) equation:


Simplifying
5w + 1 = 8(w + -1)

Reorder the terms:
1 + 5w = 8(w + -1)

Reorder the terms:
1 + 5w = 8(-1 + w)
1 + 5w = (-1 * 8 + w * 8)
1 + 5w = (-8 + 8w)

Solving
1 + 5w = -8 + 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.
1 + 5w + -8w = -8 + 8w + -8w

Combine like terms: 5w + -8w = -3w
1 + -3w = -8 + 8w + -8w

Combine like terms: 8w + -8w = 0
1 + -3w = -8 + 0
1 + -3w = -8

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

Combine like terms: 1 + -1 = 0
0 + -3w = -8 + -1
-3w = -8 + -1

Combine like terms: -8 + -1 = -9
-3w = -9

Divide each side by '-3'.
w = 3

Simplifying
w = 3

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