Solve: -13(4+2a)=208
-13(4+2a)=208
-52 - 26a = 208
-26a = 208 + 52
-26a = 260
a = -10
-13(4+2a)=208
Distribute
-52-26a=208
Add 52 to both sides
-26a=260
Divide both sides by -26
a=-10
To solve the equation -13(4+2a) = 208, we will follow these steps:
Step 1: Distribute the -13 to the terms inside the parentheses.
-13 * 4 = -52
-13 * 2a = -26a
The equation now becomes:
-52 - 26a = 208
Step 2: Simplify the equation by combining like terms.
-26a = 208 + 52
-26a = 260
Step 3: Divide both sides of the equation by -26 to isolate the variable a.
a = 260 / -26
Step 4: Simplify the fraction if possible.
a = -10
Therefore, the solution to the equation -13(4+2a) = 208 is a = -10.