Solve the equation. Check your answer. type a fraction.
-4(r+7)=-79
r=
r=6
To solve the equation -4(r+7)=-79, we need to follow the steps of isolating the variable, r.
1. Distribute -4 to the terms inside the parentheses:
-4r - 4(7) = -79
2. Simplify the expression:
-4r - 28 = -79
3. Add 28 to both sides of the equation to isolate -4r on the left side:
-4r - 28 + 28 = -79 + 28
-4r = -51
4. Divide both sides of the equation by -4 to solve for r:
-4r / -4 = -51 / -4
r = 51/4
The solution to the equation -4(r+7)=-79 is r = 51/4.
To check the answer, substitute the value of r back into the original equation:
-4(51/4 + 7) = -79
Simplifying the expression:
-4(51/4 + 28/4) = -79
-4(79/4) = -79
-79 = -79
Since both sides of the equation are equal, the solution r = 51/4 is correct.
To solve the equation -4(r+7) = -79, follow these steps:
Step 1: Distribute the -4 to the terms inside the parentheses:
-4 * r = -4r
-4 * 7 = -28
The equation becomes:
-4r - 28 = -79
Step 2: Add 28 to both sides of the equation to isolate the term with -4r:
-4r - 28 + 28 = -79 + 28
-4r = -51
Step 3: Divide both sides of the equation by -4 to solve for r:
-4r / -4 = -51 / -4
r = 51/4
To check our answer, substitute r = 51/4 back into the original equation:
-4(51/4 + 7) = -79
Step 1: Simplify within the parentheses:
51/4 + 7 = (51 + 4 * 7)/4 = (51 + 28)/4 = 79/4
Step 2: Substitute this back into the equation:
-4 * (79/4) = -79
Step 3: Simplify both sides:
-4 * (79/4) = -316/4 = -79
Since both sides of the equation are equal, the solution is correct.
Therefore, r = 51/4.