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

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

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

Combine like terms: 5 + -12 = -7
14 + -3(-7) = 1 + -1(20t + 1)

Multiply -3 * -7
14 + 21 = 1 + -1(20t + 1)

Combine like terms: 14 + 21 = 35
35 = 1 + -1(20t + 1)

Reorder the terms:
35 = 1 + -1(1 + 20t)
35 = 1 + (1 * -1 + 20t * -1)
35 = 1 + (-1 + -20t)

Combine like terms: 1 + -1 = 0
35 = 0 + -20t
35 = -20t

Solving
35 = -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.
35 + 20t = -20t + 20t

Combine like terms: -20t + 20t = 0
35 + 20t = 0

Add '-35' to each side of the equation.
35 + -35 + 20t = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 20t = 0 + -35
20t = 0 + -35

Combine like terms: 0 + -35 = -35
20t = -35

Divide each side by '20'.
t = -1.75

Simplifying
t = -1.75