Evaluate the expression -2(5k - 2j) given j = 7 and k = -5.
Understand the Problem
The question is asking us to evaluate the expression -2(5k - 2j) using the given values of j and k. We will substitute j with 7 and k with -5, then simplify the expression step by step.
Answer
The result of the expression is $78$.
Answer for screen readers
The final answer is $78$.
Steps to Solve
- Substitute values into the expression
We substitute the values of $j = 7$ and $k = -5$ into the expression:
$$ -2(5(-5) - 2(7)) $$
- Simplify the multiplication inside the parentheses
Calculate $5(-5)$ and $2(7)$:
$$ 5(-5) = -25 $$
$$ 2(7) = 14 $$
The expression now looks like:
$$ -2(-25 - 14) $$
- Combine the terms inside the parentheses
Now combine $-25$ and $-14$:
$$ -25 - 14 = -39 $$
Thus, the expression becomes:
$$ -2(-39) $$
- Multiply by -2
Finally, calculate $-2 \times -39$:
$$ -2 \times -39 = 78 $$
The final answer is $78$.
More Information
When substituting values into algebraic expressions, careful attention must be paid to the negative signs and the order of operations. This helps avoid calculation errors.
Tips
- Forgetting to change signs when multiplying two negative numbers.
- Miscalculating arithmetic within parentheses.
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