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Solve for bb.\newline4(b+14)=−204(b + 14) = -20\newlineb=b = _____\_\_\_\_\_

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Full solution

Q. Solve for bb.\newline4(b+14)=−204(b + 14) = -20\newlineb=b = _____\_\_\_\_\_
  1. Distribute 44 into parentheses: First, distribute the 44 into the parentheses.\newline4(b+14)=−204(b + 14) = -20\newline4×b+4×14=−204 \times b + 4 \times 14 = -20\newline4b+56=−204b + 56 = -20
  2. Subtract 5656 to isolate term: Next, subtract 5656 from both sides to isolate the term with the variable bb.\newline4b+56−56=−20−564b + 56 - 56 = -20 - 56\newline4b=−764b = -76
  3. Divide both sides to solve: Finally, divide both sides by 44 to solve for bb. \newline4b4=−764\frac{4b}{4} = \frac{-76}{4}\newlineb=−19b = -19

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