Nine times the sum of a number and 6 equals 7
To find the value of the number in the given equation, let's break it down step by step.
The equation states: Nine times the sum of a number and 6 equals 7.
Step 1: Define the unknown number:
Let's assume the unknown number is represented by the variable "x". Therefore, the sum of the number and 6 can be written as (x + 6).
Step 2: Write the equation:
According to the question, nine times the sum of the number and 6 is equal to 7. We can write this equation as:
9(x + 6) = 7
Step 3: Solve the equation:
To solve for x, we need to isolate the variable. Start by distributing the 9 to the terms inside the parentheses:
9x + 54 = 7
Next, we can simplify the equation by subtracting 54 from both sides:
9x = 7 - 54
9x = -47
Finally, we divide both sides of the equation by 9 to solve for x:
x = -47 / 9
The solution to the equation is x = -47/9.