Question
Solve the equation
w=−9
Evaluate
8(2w−1)−4w=−116
Move the expression to the left side
8(2w−1)−4w−(−116)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
8(2w−1)−4w+116=0
Calculate the sum or difference
More Steps

Evaluate
8(2w−1)−4w+116
Expand the expression
More Steps

Calculate
8(2w−1)
Apply the distributive property
8×2w−8×1
Multiply the numbers
16w−8×1
Any expression multiplied by 1 remains the same
16w−8
16w−8−4w+116
Subtract the terms
More Steps

Evaluate
16w−4w
Collect like terms by calculating the sum or difference of their coefficients
(16−4)w
Subtract the numbers
12w
12w−8+116
Add the numbers
12w+108
12w+108=0
Move the constant to the right-hand side and change its sign
12w=0−108
Removing 0 doesn't change the value,so remove it from the expression
12w=−108
Divide both sides
1212w=12−108
Divide the numbers
w=12−108
Solution
More Steps

Evaluate
12−108
Reduce the numbers
1−9
Calculate
−9
w=−9
Show Solution
