7=15-8(2-5w)

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Solution for 7=15-8(2-5w) equation: 


Simplifying
7 = 15 + -8(2 + -5w)
7 = 15 + (2 * -8 + -5w * -8)
7 = 15 + (-16 + 40w)

Combine like terms: 15 + -16 = -1
7 = -1 + 40w

Solving
7 = -1 + 40w

Solving for variable 'w'.

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

Add '-40w' to each side of the equation.
7 + -40w = -1 + 40w + -40w

Combine like terms: 40w + -40w = 0
7 + -40w = -1 + 0
7 + -40w = -1

Add '-7' to each side of the equation.
7 + -7 + -40w = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -40w = -1 + -7
-40w = -1 + -7

Combine like terms: -1 + -7 = -8
-40w = -8

Divide each side by '-40'.
w = 0.2

Simplifying
w = 0.2

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