Verified Answer :

\(4(3q-2)=16q\\\\12q-8=16q\ \ \ \ \ \ |add\ 8\ to\ both\ sides\\\\12q=16q+8\ \ \ \ \ \ |subtract\ 16q\ from\ both\ sides\\\\-4q=8\ \ \ \ \ \ \ |divide\ both\ sides\ by\ (-4)\\\\\boxed{q=-2}\)

mashenka

\(4\cdot (3q - 2) =16q\)
We first multiply the expression in parentheses by 4:
\(4\cdot 3q - 4\cdot 2 = 16q\)
\(12 q - 8 = 16 q\)
Then, we move expression with q to the left hand side and constant to the right hand side:
\(12q - 16q = 8\)
\(-4q = 8\)
We divide both sides by (-2):
\(q = -2\)

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