5(3t+2)+7(2t+5)=

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Solution for 5(3t+2)+7(2t+5)= equation:


Simplifying
5(3t + 2) + 7(2t + 5) = 0

Reorder the terms:
5(2 + 3t) + 7(2t + 5) = 0
(2 * 5 + 3t * 5) + 7(2t + 5) = 0
(10 + 15t) + 7(2t + 5) = 0

Reorder the terms:
10 + 15t + 7(5 + 2t) = 0
10 + 15t + (5 * 7 + 2t * 7) = 0
10 + 15t + (35 + 14t) = 0

Reorder the terms:
10 + 35 + 15t + 14t = 0

Combine like terms: 10 + 35 = 45
45 + 15t + 14t = 0

Combine like terms: 15t + 14t = 29t
45 + 29t = 0

Solving
45 + 29t = 0

Solving for variable 't'.

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

Add '-45' to each side of the equation.
45 + -45 + 29t = 0 + -45

Combine like terms: 45 + -45 = 0
0 + 29t = 0 + -45
29t = 0 + -45

Combine like terms: 0 + -45 = -45
29t = -45

Divide each side by '29'.
t = -1.551724138

Simplifying
t = -1.551724138

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