Answer: r = 9
<u>Step-by-step explanation:</u>
2(4 - 2r) = -2(r + 5)
8 - 4r = -2r - 10 <em>distributed</em>
8 = 2r - 10 <em>added 4r to both sides</em>
18 = 2r <em>added 10 to both sides</em>
9 = r <em>divided both sides by 2</em>
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Identity is when you end up with a TRUE statement after moving the x-values to one side of the equation.
For example: 2x + 2 = 2(x + 1)
2x + 2 = 2x + 2 <em>distributed</em>
2 = 2 <em>subtracted 2x from both sides</em>
TRUE so x is all real numbers
No Solution is when you end up with a FALSE statement after moving the x-values to one side of the equation.
For example: 2x + 1 = 2(x + 1)
2x + 1 = 2x + 2 <em>distributed</em>
1 = 2 <em>subtracted 2x from both sides</em>
FALSE so there are no solutions
