12t+53=21t-100

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Solution for 12t+53=21t-100 equation:


Simplifying
12t + 53 = 21t + -100

Reorder the terms:
53 + 12t = 21t + -100

Reorder the terms:
53 + 12t = -100 + 21t

Solving
53 + 12t = -100 + 21t

Solving for variable 't'.

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

Add '-21t' to each side of the equation.
53 + 12t + -21t = -100 + 21t + -21t

Combine like terms: 12t + -21t = -9t
53 + -9t = -100 + 21t + -21t

Combine like terms: 21t + -21t = 0
53 + -9t = -100 + 0
53 + -9t = -100

Add '-53' to each side of the equation.
53 + -53 + -9t = -100 + -53

Combine like terms: 53 + -53 = 0
0 + -9t = -100 + -53
-9t = -100 + -53

Combine like terms: -100 + -53 = -153
-9t = -153

Divide each side by '-9'.
t = 17

Simplifying
t = 17

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