3[5-3(4-t)]=5[3(5t-4)+8]-26

Solution for 3[5-3(4-t)]=5[3(5t-4)+8]-26 equation:

Simplifying
3[5 + -3(4 + -1t)] = 5[3(5t + -4) + 8] + -26
3[5 + (4 * -3 + -1t * -3)] = 5[3(5t + -4) + 8] + -26
3[5 + (-12 + 3t)] = 5[3(5t + -4) + 8] + -26

Combine like terms: 5 + -12 = -7
3[-7 + 3t] = 5[3(5t + -4) + 8] + -26
[-7 * 3 + 3t * 3] = 5[3(5t + -4) + 8] + -26
[-21 + 9t] = 5[3(5t + -4) + 8] + -26

Reorder the terms:
-21 + 9t = 5[3(-4 + 5t) + 8] + -26
-21 + 9t = 5[(-4 * 3 + 5t * 3) + 8] + -26
-21 + 9t = 5[(-12 + 15t) + 8] + -26

Reorder the terms:
-21 + 9t = 5[-12 + 8 + 15t] + -26

Combine like terms: -12 + 8 = -4
-21 + 9t = 5[-4 + 15t] + -26
-21 + 9t = [-4 * 5 + 15t * 5] + -26
-21 + 9t = [-20 + 75t] + -26

Reorder the terms:
-21 + 9t = -20 + -26 + 75t

Combine like terms: -20 + -26 = -46
-21 + 9t = -46 + 75t

Solving
-21 + 9t = -46 + 75t

Solving for variable 't'.

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

Add '-75t' to each side of the equation.
-21 + 9t + -75t = -46 + 75t + -75t

Combine like terms: 9t + -75t = -66t
-21 + -66t = -46 + 75t + -75t

Combine like terms: 75t + -75t = 0
-21 + -66t = -46 + 0
-21 + -66t = -46

Add '21' to each side of the equation.
-21 + 21 + -66t = -46 + 21

Combine like terms: -21 + 21 = 0
0 + -66t = -46 + 21
-66t = -46 + 21

Combine like terms: -46 + 21 = -25
-66t = -25

Divide each side by '-66'.
t = 0.3787878788

Simplifying
t = 0.3787878788