(x+4)2+(y+8)2=16

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Solution for (x+4)2+(y+8)2=16 equation: 


Simplifying
(x + 4) * 2 + (y + 8) * 2 = 16

Reorder the terms:
(4 + x) * 2 + (y + 8) * 2 = 16

Reorder the terms for easier multiplication:
2(4 + x) + (y + 8) * 2 = 16
(4 * 2 + x * 2) + (y + 8) * 2 = 16
(8 + 2x) + (y + 8) * 2 = 16

Reorder the terms:
8 + 2x + (8 + y) * 2 = 16

Reorder the terms for easier multiplication:
8 + 2x + 2(8 + y) = 16
8 + 2x + (8 * 2 + y * 2) = 16
8 + 2x + (16 + 2y) = 16

Reorder the terms:
8 + 16 + 2x + 2y = 16

Combine like terms: 8 + 16 = 24
24 + 2x + 2y = 16

Solving
24 + 2x + 2y = 16

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + 2x + -24 + 2y = 16 + -24

Reorder the terms:
24 + -24 + 2x + 2y = 16 + -24

Combine like terms: 24 + -24 = 0
0 + 2x + 2y = 16 + -24
2x + 2y = 16 + -24

Combine like terms: 16 + -24 = -8
2x + 2y = -8

Add '-2y' to each side of the equation.
2x + 2y + -2y = -8 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = -8 + -2y
2x = -8 + -2y

Divide each side by '2'.
x = -4 + -1y

Simplifying
x = -4 + -1y

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