Simplify to create an equivalent expression.
\[\qquad{2-6(-5t+1)}\]
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[-30t-4\]
A
\[-30t-4\]
(Choice B)
\[30t+3\]
B
\[30t+3\]
(Choice C)
\[30t-4\]
C
\[30t-4\]
(Choice D)
\[-5t-4\]
D
\[-5t-4\]
To simplify the expression, we distribute $-6$ to both terms inside the parentheses:
\begin{align*}
2-6(-5t+1) &= 2-6(-5t)-6(1) \\
&= 2 + 30t - 6 \\
&= 30t - 4
\end{align*}
Therefore, the simplified expression is $\boxed{30t-4}$.
To simplify the expression \[2-6(-5t+1)\], we can start by applying the distributive property. We multiply -6 by each term inside the parentheses.
So, \[2-6(-5t+1) = 2 - (-30t+6)\].
Next, we can simplify the expression by removing the parentheses. To do this, we multiply -6 by each term inside the parentheses.
So, \[2 - (-30t+6)\] becomes \[2 + 30t - 6\].
Finally, we can simplify the expression by combining like terms. The terms \[30t\] and \[-6\] are like terms, so we can add them together.
So, \[2 + 30t - 6\] becomes \[30t - 4\].
Therefore, the simplified expression is \[30t - 4\].
Thus, the answer is (Choice C) \[30t - 4\].
To simplify the expression \[2 - 6(-5t+1)\], we need to distribute the -6 to both terms inside the parentheses.
\begin{align*}
2 - 6(-5t+1) &= 2 + 30t - 6 \\
&= 30t + 2 - 6 \\
&= 30t - 4
\end{align*}
Therefore, the equivalent expression is \[30t - 4\].
So, the answer is (Choice C) \[30t - 4\].