-t-[-5(t-2r)+6(3t-r)]=

Solution for -t-[-5(t-2r)+6(3t-r)]= equation:

Simplifying
-1t + -1[-5(t + -2r) + 6(3t + -1r)] = 0

Reorder the terms:
-1t + -1[-5(-2r + t) + 6(3t + -1r)] = 0
-1t + -1[(-2r * -5 + t * -5) + 6(3t + -1r)] = 0
-1t + -1[(10r + -5t) + 6(3t + -1r)] = 0

Reorder the terms:
-1t + -1[10r + -5t + 6(-1r + 3t)] = 0
-1t + -1[10r + -5t + (-1r * 6 + 3t * 6)] = 0
-1t + -1[10r + -5t + (-6r + 18t)] = 0

Reorder the terms:
-1t + -1[10r + -6r + -5t + 18t] = 0

Combine like terms: 10r + -6r = 4r
-1t + -1[4r + -5t + 18t] = 0

Combine like terms: -5t + 18t = 13t
-1t + -1[4r + 13t] = 0
-1t + [4r * -1 + 13t * -1] = 0
-1t + [-4r + -13t] = 0

Reorder the terms:
-4r + -1t + -13t = 0

Combine like terms: -1t + -13t = -14t
-4r + -14t = 0

Solving
-4r + -14t = 0

Solving for variable 'r'.

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

Add '14t' to each side of the equation.
-4r + -14t + 14t = 0 + 14t

Combine like terms: -14t + 14t = 0
-4r + 0 = 0 + 14t
-4r = 0 + 14t
Remove the zero:
-4r = 14t

Divide each side by '-4'.
r = -3.5t

Simplifying
r = -3.5t