3-(4w+5)=.5(8w+28)

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Solution for 3-(4w+5)=.5(8w+28) equation:


Simplifying
3 + -1(4w + 5) = 0.5(8w + 28)

Reorder the terms:
3 + -1(5 + 4w) = 0.5(8w + 28)
3 + (5 * -1 + 4w * -1) = 0.5(8w + 28)
3 + (-5 + -4w) = 0.5(8w + 28)

Combine like terms: 3 + -5 = -2
-2 + -4w = 0.5(8w + 28)

Reorder the terms:
-2 + -4w = 0.5(28 + 8w)
-2 + -4w = (28 * 0.5 + 8w * 0.5)
-2 + -4w = (14 + 4w)

Solving
-2 + -4w = 14 + 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.
-2 + -4w + -4w = 14 + 4w + -4w

Combine like terms: -4w + -4w = -8w
-2 + -8w = 14 + 4w + -4w

Combine like terms: 4w + -4w = 0
-2 + -8w = 14 + 0
-2 + -8w = 14

Add '2' to each side of the equation.
-2 + 2 + -8w = 14 + 2

Combine like terms: -2 + 2 = 0
0 + -8w = 14 + 2
-8w = 14 + 2

Combine like terms: 14 + 2 = 16
-8w = 16

Divide each side by '-8'.
w = -2

Simplifying
w = -2

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