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Solve for tt.\newline18=3(t+3)18 = 3(t + 3)\newlinet=t = ____\_\_\_\_

Full solution

Q. Solve for tt.\newline18=3(t+3)18 = 3(t + 3)\newlinet=t = ____\_\_\_\_
  1. Distribute 33 to terms: Distribute the 33 to both terms inside the parentheses.\newlineWe have 18=3(t+3)18 = 3(t + 3). To simplify, we distribute the 33 to tt and to 33, which gives us 18=3t+918 = 3t + 9.
  2. Subtract 99 to isolate: Subtract 99 from both sides of the equation to isolate the term with tt. To solve for tt, we need to get tt on one side of the equation by itself. We do this by subtracting 99 from both sides, which gives us 189=3t+9918 - 9 = 3t + 9 - 9.
  3. Simplify both sides: Simplify both sides of the equation.\newlineAfter subtracting 99 from both sides, we get 9=3t9 = 3t.
  4. Divide by 33: Divide both sides of the equation by 33 to solve for tt. To isolate tt, we divide both sides by 33, which gives us 93=3t3\frac{9}{3} = \frac{3t}{3}.
  5. Find value of t: Simplify both sides of the equation to find the value of t. After dividing by 33, we get 3=t3 = t, which means t=3t = 3.