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Solve for tt.\newline4(t+2)=204(t + 2) = 20\newlinet=t = _____

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Full solution

Q. Solve for tt.\newline4(t+2)=204(t + 2) = 20\newlinet=t = _____
  1. Distribute Terms: Distribute the 44 across the terms inside the parentheses.\newlineWe need to apply the distributive property, which states that a(b+c)=ab+aca(b + c) = ab + ac. In this case, we have 4(t+2)4(t + 2), which becomes 4t+4×24t + 4\times2.\newlineCalculation: 4t+84t + 8
  2. Set Up Equation: Set up the equation with the distributed terms.\newlineThe equation now looks like this: 4t+8=204t + 8 = 20.
  3. Subtract 88: Subtract 88 from both sides of the equation to isolate the term with the variable tt. We want to get tt by itself on one side of the equation, so we need to remove the 88 from the left side. To do this, we subtract 88 from both sides. Calculation: 4t+8−8=20−84t + 8 - 8 = 20 - 8, which simplifies to 4t=124t = 12.
  4. Divide by 44: Divide both sides of the equation by 44 to solve for tt. Now that we have 4t=124t = 12, we divide both sides by 44 to find the value of tt. Calculation: 4t4=124\frac{4t}{4} = \frac{12}{4}, which simplifies to t=3t = 3.

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