(4t+16)+(5t-21)=180

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Solution for (4t+16)+(5t-21)=180 equation: 


Simplifying
(4t + 16) + (5t + -21) = 180

Reorder the terms:
(16 + 4t) + (5t + -21) = 180

Remove parenthesis around (16 + 4t)
16 + 4t + (5t + -21) = 180

Reorder the terms:
16 + 4t + (-21 + 5t) = 180

Remove parenthesis around (-21 + 5t)
16 + 4t + -21 + 5t = 180

Reorder the terms:
16 + -21 + 4t + 5t = 180

Combine like terms: 16 + -21 = -5
-5 + 4t + 5t = 180

Combine like terms: 4t + 5t = 9t
-5 + 9t = 180

Solving
-5 + 9t = 180

Solving for variable 't'.

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

Add '5' to each side of the equation.
-5 + 5 + 9t = 180 + 5

Combine like terms: -5 + 5 = 0
0 + 9t = 180 + 5
9t = 180 + 5

Combine like terms: 180 + 5 = 185
9t = 185

Divide each side by '9'.
t = 20.55555556

Simplifying
t = 20.55555556

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