4n-30=2(2n+15) Which of the following best describes the solutions to the equation shown? Choose 1 answer: A There is exactly one solution, n=0. (B) There is exactly one solution, n=-(15)/(4). (c) There are no solutions. (D) There are infinitely many solutions.

Question

4n-30=2(2n+15) Which of the following best describes the solutions to the equation shown? Choose 1 answer: A There is exactly one solution,  n=0. (B) There is exactly one solution,  n=-(15)/(4). (c) There are no solutions. (D) There are infinitely many solutions.

Bytelearn · Accepted Answer

Rephrasing the equation: First, let's rephrase the  ＂What is the solution to the equation 4n - 30 = 2(2n + 15)?＂Expanding the right side: Now, let's solve the equation step by step. We start by expanding the right side of the equation where the expression 2(2n + 15) is. 4n - 30 = 2 * 2n + 2 * 15Simplifying the equation: Simplify the right side of the equation by multiplying the terms inside the parentheses by 2. 4n - 30 = 4n + 30Isolating the variable: Next, we will try to isolate the variable n on one side of the equation. However, we notice that we have the same term 4n on both sides of the equation. Let's subtract 4n from both sides to see what happens. 4n - 4n - 30 = 4n - 4n + 30Subtracting 4n from both sides: After subtracting 4n from both sides, we get: 0 - 30 = 0 + 30 -30 = 30Arriving at a contradiction: We have arrived at a contradiction, -30 does not equal 30. This means that there are no values of n that will satisfy the equation. Therefore, there are no solutions to the equation.

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