3(t+5)+4(5t)=38

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Solution for 3(t+5)+4(5t)=38 equation: 


Simplifying
3(t + 5) + 4(5t) = 38

Reorder the terms:
3(5 + t) + 4(5t) = 38
(5 * 3 + t * 3) + 4(5t) = 38
(15 + 3t) + 4(5t) = 38

Remove parenthesis around (5t)
15 + 3t + 4 * 5t = 38

Multiply 4 * 5
15 + 3t + 20t = 38

Combine like terms: 3t + 20t = 23t
15 + 23t = 38

Solving
15 + 23t = 38

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-15' to each side of the equation.
15 + -15 + 23t = 38 + -15

Combine like terms: 15 + -15 = 0
0 + 23t = 38 + -15
23t = 38 + -15

Combine like terms: 38 + -15 = 23
23t = 23

Divide each side by '23'.
t = 1

Simplifying
t = 1

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