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Simplify the following expression:(4t − 5t2) + 19(3t + 4)After simplifying, what number is multiplied by the t?

Question

Simplify the following expression:(4t − 5t2) + 19(3t + 4)After simplifying, what number is multiplied by the t?

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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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