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Solve for tt.\newline8t=9t+6-8t = -9t + 6

Full solution

Q. Solve for tt.\newline8t=9t+6-8t = -9t + 6
  1. Isolate variable t: Start with the equation 8t=9t+6-8t = -9t + 6. To isolate the variable t, we want to get all the t terms on one side of the equation.\newlineAdd 9t9t to both sides of the equation to move the t terms to the left side.\newline8t+9t=9t+6+9t-8t + 9t = -9t + 6 + 9t
  2. Combine like terms: Simplify the equation by combining like terms on both sides.\newline8t+9t=1t-8t + 9t = 1t (or simply tt)\newline9t+9t=0-9t + 9t = 0\newlineSo, the simplified equation is t=6t = 6.
  3. Check solution: Check the solution by substituting the value of tt back into the original equation.8(6)=9(6)+6-8(6) = -9(6) + 648=54+6-48 = -54 + 648=48-48 = -48Since both sides of the equation are equal, the solution t=6t = 6 is correct.

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