Question

27 - 7(-1 + 3a) = 5(3 - 5a)

Explanation:

Step1: Expand both sides

Expand the left - hand side: \(27-7\times(- 1)-7\times3a=27 + 7-21a=34-21a\)
Expand the right - hand side: \(5\times3-5\times5a = 15-25a\)
So the equation becomes \(34-21a=15 - 25a\)

Step2: Move the terms with \(a\) to one side

Add \(25a\) to both sides of the equation: \(34-21a + 25a=15-25a+25a\)
Simplify: \(34 + 4a=15\)

Step3: Solve for \(a\)

Subtract 34 from both sides: \(34 + 4a-34=15 - 34\)
Simplify: \(4a=-19\)
Divide both sides by 4: \(a =-\frac{19}{4}\)

Answer:

\(a =-\frac{19}{4}\)