which expressions are equivalent to -6 + 3(2 + (-4t))? choose all answers that apply: a -12t b 12t - 12 c…

which expressions are equivalent to -6 + 3(2 + (-4t))? choose all answers that apply: a -12t b 12t - 12 c none of the above

which expressions are equivalent to -6 + 3(2 + (-4t))? choose all answers that apply: a -12t b 12t - 12 c none of the above

Answer

Explanation:

Step1: Simplify inner - parentheses

First, simplify the expression inside the innermost parentheses. Since (2+(-4t)=2 - 4t), the original expression (-6 + 3(2+(-4t))) becomes (-6+3(2 - 4t)).

Step2: Apply distributive property

Use the distributive property (a(b + c)=ab+ac). Here (a = 3), (b = 2) and (c=-4t). So (3(2 - 4t)=3\times2-3\times4t=6-12t). Then the expression is (-6+(6 - 12t)).

Step3: Remove parentheses and combine like - terms

(-6+(6 - 12t)=-6 + 6-12t). Combining (-6) and (6) gives (0), so the final simplified expression is (-12t).

Answer:

A. (-12t)