Explain,in words,how would you solve:
3(n-8)=12+2n
{this is a two step equation}
Multiply 3 * n - 8.
Combine like terms with the knowns on one side and the unknowns on the other side.
Divide.
3*n-24=12+2*n
3*n-2*n=12+24
n=36
To solve the equation 3(n-8) = 12 + 2n, you need to follow a series of steps. This is a two-step equation, which means that you will need to perform two operations to isolate the variable n on one side of the equation.
Step 1: Distribute the 3 on the left side of the equation.
To do this, multiply 3 with both terms inside the parentheses (n-8):
3n - 24 = 12 + 2n
Step 2: Simplify the equation and isolate the variable n.
Start by moving all terms with n to one side by subtracting 2n from both sides:
3n - 2n - 24 = 12
Simplifying this further, you have:
n - 24 = 12
To isolate the n variable, you need to add 24 to both sides of the equation:
n - 24 + 24 = 12 + 24
The -24 and +24 on the left side cancel each other out, leaving:
n = 36
So, the solution to the equation 3(n-8) = 12 + 2n is n = 36.