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Simplify the expression 6(-8t + 10s) + 8t and evaluate it when s=1 and t=1.

Mathematics

ScanSolve AI Answer

Answer

20\textbf{20}

Step-by-step solution

4 steps

  1. Distribute the 6 into the parenthesis.

    6(−8t+10s)+8t=−48t+60s+8t6(-8t + 10s) + 8t = -48t + 60s + 8t

  2. Combine the like terms involving tt.

    (−48t+8t)+60s=−40t+60s(-48t + 8t) + 60s = -40t + 60s

  3. Substitute the given values s=1s=1 and t=1t=1 into the simplified expression.

    −40(1)+60(1)-40(1) + 60(1)

  4. Perform the multiplications and addition.

    −40+60=20-40 + 60 = 20

    The value of the expression is:

    20\textbf{20}
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