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Combine like terms to create an equivalent expression.

-3.6-1.9 t+1.2+5.1 t

Combine like terms to create an equivalent expression.\newline3.61.9t+1.2+5.1t-3.6 - 1.9t + 1.2 + 5.1t

Full solution

Q. Combine like terms to create an equivalent expression.\newline3.61.9t+1.2+5.1t-3.6 - 1.9t + 1.2 + 5.1t
  1. Identify and group like terms: Identify and group like terms in the expression 3.61.9t+1.2+5.1t-3.6 - 1.9t + 1.2 + 5.1t.\newlineThe like terms are the constants 3.6-3.6 and 1.21.2, and the terms with the variable tt, which are 1.9t-1.9t and 5.1t5.1t.\newlineGrouping the like terms gives us (3.6+1.2)+(1.9t+5.1t)(-3.6 + 1.2) + (-1.9t + 5.1t).
  2. Combine the constants: Combine the constants 3.6-3.6 and 1.21.2.3.6+1.2=2.4-3.6 + 1.2 = -2.4
  3. Combine the terms with the variable tt: Combine the terms with the variable tt, 1.9t-1.9t and 5.1t5.1t.\newline1.9t+5.1t=3.2t-1.9t + 5.1t = 3.2t
  4. Write the equivalent expression: Write the equivalent expression by combining the results from the previous steps.\newlineThe equivalent expression is 2.4+3.2t-2.4 + 3.2t.

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