Question
Solve the equation
a=−8
Evaluate
3(8−a)=6(−7−2a)−6
Calculate
More Steps
Evaluate
3(8−a)
Apply the distributive property
3×8−3a
Multiply the numbers
24−3a
24−3a=6(−7−2a)−6
Calculate
More Steps
Evaluate
6(−7−2a)−6
Expand the expression
More Steps
Calculate
6(−7−2a)
Apply the distributive property
6(−7)−6×2a
Multiply the numbers
−42−6×2a
Multiply the numbers
−42−12a
−42−12a−6
Subtract the numbers
−48−12a
24−3a=−48−12a
Move the expression to the left side
24−3a−(−48−12a)=0
Calculate
More Steps
Add the terms
24−3a−(−48−12a)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
24−3a+48+12a
Add the numbers
72−3a+12a
Add the terms
More Steps
Evaluate
−3a+12a
Collect like terms by calculating the sum or difference of their coefficients
(−3+12)a
Add the numbers
9a
72+9a
72+9a=0
Move the constant to the right-hand side and change its sign
9a=0−72
Removing 0 doesn't change the value,so remove it from the expression
9a=−72
Divide both sides
99a=9−72
Divide the numbers
a=9−72
Solution
More Steps
Evaluate
9−72
Reduce the numbers
1−8
Calculate
−8
a=−8
Show Solution