25(t-1)=12(2t+1)+10

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Solution for 25(t-1)=12(2t+1)+10 equation: 


Simplifying
25(t + -1) = 12(2t + 1) + 10

Reorder the terms:
25(-1 + t) = 12(2t + 1) + 10
(-1 * 25 + t * 25) = 12(2t + 1) + 10
(-25 + 25t) = 12(2t + 1) + 10

Reorder the terms:
-25 + 25t = 12(1 + 2t) + 10
-25 + 25t = (1 * 12 + 2t * 12) + 10
-25 + 25t = (12 + 24t) + 10

Reorder the terms:
-25 + 25t = 12 + 10 + 24t

Combine like terms: 12 + 10 = 22
-25 + 25t = 22 + 24t

Solving
-25 + 25t = 22 + 24t

Solving for variable 't'.

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

Add '-24t' to each side of the equation.
-25 + 25t + -24t = 22 + 24t + -24t

Combine like terms: 25t + -24t = 1t
-25 + 1t = 22 + 24t + -24t

Combine like terms: 24t + -24t = 0
-25 + 1t = 22 + 0
-25 + 1t = 22

Add '25' to each side of the equation.
-25 + 25 + 1t = 22 + 25

Combine like terms: -25 + 25 = 0
0 + 1t = 22 + 25
1t = 22 + 25

Combine like terms: 22 + 25 = 47
1t = 47

Divide each side by '1'.
t = 47

Simplifying
t = 47

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