(4t+16)+(5t-21)=380

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Solution for (4t+16)+(5t-21)=380 equation:


Simplifying
(4t + 16) + (5t + -21) = 380

Reorder the terms:
(16 + 4t) + (5t + -21) = 380

Remove parenthesis around (16 + 4t)
16 + 4t + (5t + -21) = 380

Reorder the terms:
16 + 4t + (-21 + 5t) = 380

Remove parenthesis around (-21 + 5t)
16 + 4t + -21 + 5t = 380

Reorder the terms:
16 + -21 + 4t + 5t = 380

Combine like terms: 16 + -21 = -5
-5 + 4t + 5t = 380

Combine like terms: 4t + 5t = 9t
-5 + 9t = 380

Solving
-5 + 9t = 380

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 = 380 + 5

Combine like terms: -5 + 5 = 0
0 + 9t = 380 + 5
9t = 380 + 5

Combine like terms: 380 + 5 = 385
9t = 385

Divide each side by '9'.
t = 42.77777778

Simplifying
t = 42.77777778

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