Question

The solution of the equation 4 +6(m + 2) = 34 is?

Answer 1

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

4+6(m+2)=34

Step by step explanation

1.First we open the brackets and expand the term.

=>4+6×m+6×2=34

2.Now, Taking constant term together and Variable one side.

=>4+6m+12=34

=>4+12+6m=34

=>16+6m=34

3.Now ,shift constant term to other side and variable term alone on one side.

=>6m=34-16=18

=>6m=18

4.Now,the value which gets multiplied with Variable when shifts to other side it's sign gets changed from multiply to Divide.

=>m=18÷6

=>m=3

∴Value of m =3

Check

=>4+6(m+2)=34

=>4+6(3+2)

=>4+6(5)

=>4+30

=34

Answer 2

$\huge \mathbb{\underline{Solution :- }}$

$4 +6(m + 2) = 34$

$⇒4 + 6m + 12 = 34$

$⇒6m + 16 = 34$

$⇒6m = 34 - 16$

$⇒6m = 18$

$⇒m = \frac{18}{6}$

$⇒m = 3$

$\sf \green{Hence, \: Solution \: of \: the \: given \: equation \: is \: m = 3.}$

$\bf \red{ \underline{Correction \: Test :- }}$

${ \sf{Left \: Side}} = 4+6(m+2)$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 + 6(3 + 2)$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 + 6 \times 5$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 + 30$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 34$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sf{Right \:S ide}$

$\bf \purple{Therefore, m = 3.}$