Question

5 - (8v + 5) = -4(1 + 3v)
3(a - 6) = -5a - (7 + 3a)

Explanation:

Step1: Solve \(5 - (8v + 5) = -4(1 + 3v)\)

First, simplify both sides. Expand the parentheses:
Left side: \(5 - 8v - 5 = -8v\)
Right side: \(-4 - 12v\)
So the equation becomes \(-8v = -4 - 12v\)
Add \(12v\) to both sides: \(4v = -4\)
Divide by 4: \(v = -1\)

Step2: Solve \(3(a - 6) = -5a - (7 + 3a)\)

Expand both sides. Left side: \(3a - 18\)
Right side: \(-5a - 7 - 3a = -8a - 7\)
Equation: \(3a - 18 = -8a - 7\)
Add \(8a\) to both sides: \(11a - 18 = -7\)
Add 18 to both sides: \(11a = 11\)
Divide by 11: \(a = 1\)

Answer:

For \(5 - (8v + 5) = -4(1 + 3v)\), \(v = -1\); for \(3(a - 6) = -5a - (7 + 3a)\), \(a = 1\)