8(w-1)=3(3w+5)

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Solution for 8(w-1)=3(3w+5) equation:


Simplifying
8(w + -1) = 3(3w + 5)

Reorder the terms:
8(-1 + w) = 3(3w + 5)
(-1 * 8 + w * 8) = 3(3w + 5)
(-8 + 8w) = 3(3w + 5)

Reorder the terms:
-8 + 8w = 3(5 + 3w)
-8 + 8w = (5 * 3 + 3w * 3)
-8 + 8w = (15 + 9w)

Solving
-8 + 8w = 15 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
-8 + 8w + -9w = 15 + 9w + -9w

Combine like terms: 8w + -9w = -1w
-8 + -1w = 15 + 9w + -9w

Combine like terms: 9w + -9w = 0
-8 + -1w = 15 + 0
-8 + -1w = 15

Add '8' to each side of the equation.
-8 + 8 + -1w = 15 + 8

Combine like terms: -8 + 8 = 0
0 + -1w = 15 + 8
-1w = 15 + 8

Combine like terms: 15 + 8 = 23
-1w = 23

Divide each side by '-1'.
w = -23

Simplifying
w = -23

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