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Answer:

14

Step-by-step explanation:

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The value of t is 14

Given the algebraic equation:

[tex]42 + 5t = 8t\\[/tex]

To find the value of t in the algebraic equation given, we would apply the some of the laws of equalities or properties as follows:

[tex]42 + 5t - 5t = 8t - 5t[/tex] (subtraction property of equality)

[tex]42 = 3t\\\frac{42}{3} = \frac{3t}{3}[/tex] (division property of equality)

[tex]14 = t[/tex]

[tex]t = 14[/tex]

Therefore, the value of t is 14.

Learn more about solving algebraic equations here:

https://brainly.com/question/22403715