Distribute 3 into parentheses: Distribute the 3 into the parentheses.We need to apply the distributive property to the expression 3(q−14). This means we multiply 3 by both q and −14.3×q=3q3×(−14)=−42So, 3(q−14) becomes 3q−42.
Write new equation after distribution: Write the new equation after distribution.After distributing, our equation is now 3q−42+3=18.
Combine like terms: Combine like terms on the left side of the equation.We have −42 and +3 on the left side, which are like terms. We combine them to simplify the equation.−42+3=−39So, the equation now is 3q−39=18.
Add 39 to isolate term: Add 39 to both sides of the equation to isolate the term with q. To get 3q by itself on one side, we need to get rid of −39. We do this by adding 39 to both sides of the equation. 3q−39+39=18+39 This simplifies to 3q=57.
Divide both sides to solve: Divide both sides of the equation by 3 to solve for q. To find the value of q, we divide both sides of the equation by 3. 33q=357 This simplifies to q=19.
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