2(t-8)+7(-3t-5)=-20(t+4)-1

Solution for 2(t-8)+7(-3t-5)=-20(t+4)-1 equation:

Simplifying
2(t + -8) + 7(-3t + -5) = -20(t + 4) + -1

Reorder the terms:
2(-8 + t) + 7(-3t + -5) = -20(t + 4) + -1
(-8 * 2 + t * 2) + 7(-3t + -5) = -20(t + 4) + -1
(-16 + 2t) + 7(-3t + -5) = -20(t + 4) + -1

Reorder the terms:
-16 + 2t + 7(-5 + -3t) = -20(t + 4) + -1
-16 + 2t + (-5 * 7 + -3t * 7) = -20(t + 4) + -1
-16 + 2t + (-35 + -21t) = -20(t + 4) + -1

Reorder the terms:
-16 + -35 + 2t + -21t = -20(t + 4) + -1

Combine like terms: -16 + -35 = -51
-51 + 2t + -21t = -20(t + 4) + -1

Combine like terms: 2t + -21t = -19t
-51 + -19t = -20(t + 4) + -1

Reorder the terms:
-51 + -19t = -20(4 + t) + -1
-51 + -19t = (4 * -20 + t * -20) + -1
-51 + -19t = (-80 + -20t) + -1

Reorder the terms:
-51 + -19t = -80 + -1 + -20t

Combine like terms: -80 + -1 = -81
-51 + -19t = -81 + -20t

Solving
-51 + -19t = -81 + -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.
-51 + -19t + 20t = -81 + -20t + 20t

Combine like terms: -19t + 20t = 1t
-51 + 1t = -81 + -20t + 20t

Combine like terms: -20t + 20t = 0
-51 + 1t = -81 + 0
-51 + 1t = -81

Add '51' to each side of the equation.
-51 + 51 + 1t = -81 + 51

Combine like terms: -51 + 51 = 0
0 + 1t = -81 + 51
1t = -81 + 51

Combine like terms: -81 + 51 = -30
1t = -30

Divide each side by '1'.
t = -30

Simplifying
t = -30