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Combine the like terms to create an equivalent expression:

8t+1+(-4t)+(-6)

Combine the like terms to create an equivalent expression: $\newline$ $8t+1+(-4t)+(-6)$

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Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Combine the like terms to create an equivalent expression:

\newline

8t+1+(-4t)+(-6)

Identify like terms: Identify like terms in the expression $8t + 1 + (-4t) + (-6)$ . $\newline$ Like terms are terms that contain the same variable raised to the same power. Here, $8t$ and $(-4t)$ are like terms because they both contain the variable $t$ raised to the first power. The numbers $1$ and $(-6)$ are like terms because they are both constants.
Combine like terms $8t$ and $(-4t)$ : Combine the like terms $8t$ and $(-4t)$ . $\newline$ To combine these terms, we add their coefficients: $8 + (-4) = 4$ . Therefore, $8t + (-4t)$ simplifies to $4t$ .
Combine like terms $1$ and $(-6)$ : Combine the like terms $1$ and $(-6)$ . $\newline$ To combine these terms, we add the numbers: $1 + (-6) = -5$ . Therefore, $1 + (-6)$ simplifies to $-5$ .
Write simplified expression: Write the simplified expression by combining the results from Step $2$ and Step $3$ . $\newline$ The simplified expression is $4t + (-5)$ , which can also be written as $4t - 5$ .

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