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Which expression has the same value as 
8x+(-2y) ?

-2y+(-8x)

2y-8x

-8x+(-2y)

8x-2y

Which expression has the same value as 8x+(2y) 8 x+(-2 y) ?\newline2y+(8x) -2 y+(-8 x) \newline2y8x 2 y-8 x \newline8x+(2y) -8 x+(-2 y) \newline8x2y 8 x-2 y

Full solution

Q. Which expression has the same value as 8x+(2y) 8 x+(-2 y) ?\newline2y+(8x) -2 y+(-8 x) \newline2y8x 2 y-8 x \newline8x+(2y) -8 x+(-2 y) \newline8x2y 8 x-2 y
  1. Identify Given Expression: Identify the given expression and the options to compare.\newlineGiven expression: 8x+(2y)8x + (-2y)\newlineOptions to compare: \newlineA) 2y+(8x)-2y + (-8x)\newlineB) 2y8x2y - 8x\newlineC) 8x+(2y)-8x + (-2y)\newlineD) 8x2y8x - 2y
  2. Compare with Option A: Compare the given expression with option A.\newlineGiven expression: 8x+(2y)8x + (-2y)\newlineOption A: 2y+(8x)-2y + (-8x)\newlineCheck if the terms in option A are equivalent to the terms in the given expression.\newlineThe terms 2y-2y and (2y)(-2y) are equivalent, and the terms 8x-8x and 8x8x are opposites, not equivalent.\newlineTherefore, option A is not equivalent to the given expression.
  3. Compare with Option B: Compare the given expression with option B.\newlineGiven expression: 8x+(2y)8x + (-2y)\newlineOption B: 2y8x2y - 8x\newlineCheck if the terms in option B are equivalent to the terms in the given expression.\newlineThe terms 2y2y and (2y)(-2y) are opposites, not equivalent, and the terms 8x-8x and 8x8x are opposites, not equivalent.\newlineTherefore, option B is not equivalent to the given expression.
  4. Compare with Option C: Compare the given expression with option C.\newlineGiven expression: 8x+(2y)8x + (-2y)\newlineOption C: 8x+(2y)-8x + (-2y)\newlineCheck if the terms in option C are equivalent to the terms in the given expression.\newlineThe terms 8x-8x and 8x8x are opposites, not equivalent, and the terms (2y)(-2y) and (2y)(-2y) are equivalent.\newlineTherefore, option C is not equivalent to the given expression.

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