Simplify the following expression:(4t − 5t2) + 19(3t + 4)After simplifying, what number is multiplied by the t?
Question
Simplify the following expression:
After simplifying, what number is multiplied by the t?
Solution
Sure, let's simplify the given expression step by step:
The expression is: (4t − 5t²) + 19(3t + 4)
Step 1: Distribute the 19 in the second part of the expression: = (4t − 5t²) + 19 * 3t + 19 * 4 = (4t − 5t²) + 57t + 76
Step 2: Combine like terms: = (4t + 57t) − 5t² + 76 = 61t − 5t² + 76
After simplifying, the number that is multiplied by t is 61.
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