Combine like terms. 4t-8r+5r-9t

Identify Like Terms: Identify like terms in the expression 4t - 8r + 5r - 9t. Like terms are terms that have the same variable raised to the same power. In this expression, 4t and -9t are like terms because they both have the variable 't'. Similarly, -8r and 5r are like terms because they both have the variable 'r'.Combine 't' Terms: Combine the like terms involving 't'. We have 4t and -9t. To combine them, we subtract 9t from 4t because -9t indicates a subtraction. 4t - 9t = -5tCombine 'r' Terms: Combine the like terms involving 'r'. We have -8r and 5r. To combine them, we add 5r to -8r. -8r + 5r = -3rWrite Simplified Expression: Write the simplified expression with the combined like terms. We have combined -5t for the 't' terms and -3r for the 'r' terms. Now we write the simplified expression by putting these together. Final expression: -5t - 3r

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Combine like terms. $\newline$ $4t-8r+5r-9t$

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

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Q. Combine like terms.

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4t-8r+5r-9t

Identify Like Terms: Identify like terms in the expression $4t - 8r + 5r - 9t$ . Like terms are terms that have the same variable raised to the same power. In this expression, $4t$ and $-9t$ are like terms because they both have the variable ' $t$ '. Similarly, $-8r$ and $5r$ are like terms because they both have the variable ' $r$ '.
Combine 't' Terms: Combine the like terms involving 't'. $\newline$ We have $4t$ and $-9t$ . To combine them, we subtract $9t$ from $4t$ because $-9t$ indicates a subtraction. $\newline$ $4t - 9t = -5t$
Combine 'r' Terms: Combine the like terms involving 'r'. $\newline$ We have $-8r$ and $5r$ . To combine them, we add $5r$ to $-8r$ . $\newline$ $-8r + 5r = -3r$
Write Simplified Expression: Write the simplified expression with the combined like terms. $\newline$ We have combined $-5t$ for the 't' terms and $-3r$ for the 'r' terms. Now we write the simplified expression by putting these together. $\newline$ Final expression: $-5t - 3r$