4(-2w-7)=8w+4

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Solution for 4(-2w-7)=8w+4 equation:


Simplifying
4(-2w + -7) = 8w + 4

Reorder the terms:
4(-7 + -2w) = 8w + 4
(-7 * 4 + -2w * 4) = 8w + 4
(-28 + -8w) = 8w + 4

Reorder the terms:
-28 + -8w = 4 + 8w

Solving
-28 + -8w = 4 + 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.
-28 + -8w + -8w = 4 + 8w + -8w

Combine like terms: -8w + -8w = -16w
-28 + -16w = 4 + 8w + -8w

Combine like terms: 8w + -8w = 0
-28 + -16w = 4 + 0
-28 + -16w = 4

Add '28' to each side of the equation.
-28 + 28 + -16w = 4 + 28

Combine like terms: -28 + 28 = 0
0 + -16w = 4 + 28
-16w = 4 + 28

Combine like terms: 4 + 28 = 32
-16w = 32

Divide each side by '-16'.
w = -2

Simplifying
w = -2

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