14-3(5t+12)=1-(20t-1)

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Solution for 14-3(5t+12)=1-(20t-1) equation:


Simplifying
14 + -3(5t + 12) = 1 + -1(20t + -1)

Reorder the terms:
14 + -3(12 + 5t) = 1 + -1(20t + -1)
14 + (12 * -3 + 5t * -3) = 1 + -1(20t + -1)
14 + (-36 + -15t) = 1 + -1(20t + -1)

Combine like terms: 14 + -36 = -22
-22 + -15t = 1 + -1(20t + -1)

Reorder the terms:
-22 + -15t = 1 + -1(-1 + 20t)
-22 + -15t = 1 + (-1 * -1 + 20t * -1)
-22 + -15t = 1 + (1 + -20t)

Combine like terms: 1 + 1 = 2
-22 + -15t = 2 + -20t

Solving
-22 + -15t = 2 + -20t

Solving for variable 't'.

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

Add '20t' to each side of the equation.
-22 + -15t + 20t = 2 + -20t + 20t

Combine like terms: -15t + 20t = 5t
-22 + 5t = 2 + -20t + 20t

Combine like terms: -20t + 20t = 0
-22 + 5t = 2 + 0
-22 + 5t = 2

Add '22' to each side of the equation.
-22 + 22 + 5t = 2 + 22

Combine like terms: -22 + 22 = 0
0 + 5t = 2 + 22
5t = 2 + 22

Combine like terms: 2 + 22 = 24
5t = 24

Divide each side by '5'.
t = 4.8

Simplifying
t = 4.8

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