2(5t+8)+9(2t+1)=

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Solution for 2(5t+8)+9(2t+1)= equation:


Simplifying
2(5t + 8) + 9(2t + 1) = 0

Reorder the terms:
2(8 + 5t) + 9(2t + 1) = 0
(8 * 2 + 5t * 2) + 9(2t + 1) = 0
(16 + 10t) + 9(2t + 1) = 0

Reorder the terms:
16 + 10t + 9(1 + 2t) = 0
16 + 10t + (1 * 9 + 2t * 9) = 0
16 + 10t + (9 + 18t) = 0

Reorder the terms:
16 + 9 + 10t + 18t = 0

Combine like terms: 16 + 9 = 25
25 + 10t + 18t = 0

Combine like terms: 10t + 18t = 28t
25 + 28t = 0

Solving
25 + 28t = 0

Solving for variable 't'.

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

Add '-25' to each side of the equation.
25 + -25 + 28t = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 28t = 0 + -25
28t = 0 + -25

Combine like terms: 0 + -25 = -25
28t = -25

Divide each side by '28'.
t = -0.8928571429

Simplifying
t = -0.8928571429

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