Question

$\textbf {\: Hey Moderators Please answer my this question }$

$\underline {Solve \: the \: following \: equations \: : } \\ \ \ \red {16 = 4 + 3(t + 2)}$

FULL EXPLANATION NEEDED
$\mathbb{FULL \: EXPLANATION \: NEEDED \: }$

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Answer 1

$\bigstar$１６ = ４ + ３ (t +２)

➙ $\bf{16~=~4~+~3t~+~6}$

➙ $\bf{16~-~4~=~3t~+~6}$

➙ $\bf{12~-~6~=~3t}$

➙ $\bf{3t~=~6}$

➙ $\bf{t~=~\dfrac{6}{3}}$

➙ $\bf\pink{t~=~2}$

Answer 2

☆ Elucidation :-

$\sf : \implies \: 16 = 4 +3(t + 2)$

In this equation we have to find out the value of t, therefore, we can simply equate it now,

$\sf : \implies \: 16 = 4 + 3t +6 \\ \sf : \implies \: 16 = 10 + 3t \: \: \: \: \: \: \\ \sf : \implies \: 3t = 16 - 10 \: \: \: \: \: \: \\ \sf : \implies \: t = \frac{6}{3} = 2 \: \: \: \: \: \: \: \: \: \: \:$

∵ the value of t is $\boxed{ \sf 2}$.

∴ the value of 3t is $\boxed{ \sf 3 \times 2 = 6}$

☆ Verification :-

For verification we will simply put the derived value in the equation and check whether it satisfies the equation or not.

$\sf : \implies \: 16 = 4 + 3( 2+ 2) \\ \sf : \implies \:16 = 4 + 3 \times 4 \: \: \: \: \: \: \\ \sf : \implies \:16 = 4 + 12 \: \: \: \: \: \: \: \: \: \: \: \\ \sf : \implies \:16 = 16 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

∵ L.H.S. = R.H.S

Hence, verified.