Question

solve the equation and check your solution.\\(6(3a + 1) - 30 = 3(2a - 4)\\)\\(a = \square\\)

Explanation:

Step1: Expand both sides

$18a + 6 - 30 = 6a - 12$

Step2: Simplify constants

$18a - 24 = 6a - 12$

Step3: Isolate variable terms

$18a - 6a = -12 + 24$

Step4: Calculate both sides

$12a = 12$

Step5: Solve for $a$

$a = \frac{12}{12} = 1$

Step6: Verify solution

Left side: $6(3(1)+1)-30=6(4)-30=24-30=-6$
Right side: $3(2(1)-4)=3(-2)=-6$
Both sides match, so $a=1$ is valid.

Answer:

$a=1$