8(5w-2)=14(8w+5)

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Solution for 8(5w-2)=14(8w+5) equation:


Simplifying
8(5w + -2) = 14(8w + 5)

Reorder the terms:
8(-2 + 5w) = 14(8w + 5)
(-2 * 8 + 5w * 8) = 14(8w + 5)
(-16 + 40w) = 14(8w + 5)

Reorder the terms:
-16 + 40w = 14(5 + 8w)
-16 + 40w = (5 * 14 + 8w * 14)
-16 + 40w = (70 + 112w)

Solving
-16 + 40w = 70 + 112w

Solving for variable 'w'.

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

Add '-112w' to each side of the equation.
-16 + 40w + -112w = 70 + 112w + -112w

Combine like terms: 40w + -112w = -72w
-16 + -72w = 70 + 112w + -112w

Combine like terms: 112w + -112w = 0
-16 + -72w = 70 + 0
-16 + -72w = 70

Add '16' to each side of the equation.
-16 + 16 + -72w = 70 + 16

Combine like terms: -16 + 16 = 0
0 + -72w = 70 + 16
-72w = 70 + 16

Combine like terms: 70 + 16 = 86
-72w = 86

Divide each side by '-72'.
w = -1.194444444

Simplifying
w = -1.194444444

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