Question

solve the equation and check your solution. 3(3m - 2) = 2(3m + 3) m =

Explanation:

Step1: Expand both sides

$3(3m-2)=9m-6$; $2(3m+3)=6m+6$
Equation becomes: $9m-6=6m+6$

Step2: Isolate variable terms

Subtract $6m$ from both sides:
$9m-6m-6=6m-6m+6$
$3m-6=6$

Step3: Isolate the variable

Add 6 to both sides:
$3m-6+6=6+6$
$3m=12$

Step4: Solve for m

Divide by 3:
$\frac{3m}{3}=\frac{12}{3}$
$m=4$

Step5: Verify the solution

Substitute $m=4$ into original equation:
Left side: $3(3*4-2)=3(12-2)=3*10=30$
Right side: $2(3*4+3)=2(12+3)=2*15=30$
Both sides are equal, so solution is valid.

Answer:

$m=4$