4[5-4(4-t)]-6=5[4(5t-6)+21]-64

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Solution for 4[5-4(4-t)]-6=5[4(5t-6)+21]-64 equation: 


Simplifying
4[5 + -4(4 + -1t)] + -6 = 5[4(5t + -6) + 21] + -64
4[5 + (4 * -4 + -1t * -4)] + -6 = 5[4(5t + -6) + 21] + -64
4[5 + (-16 + 4t)] + -6 = 5[4(5t + -6) + 21] + -64

Combine like terms: 5 + -16 = -11
4[-11 + 4t] + -6 = 5[4(5t + -6) + 21] + -64
[-11 * 4 + 4t * 4] + -6 = 5[4(5t + -6) + 21] + -64
[-44 + 16t] + -6 = 5[4(5t + -6) + 21] + -64

Reorder the terms:
-44 + -6 + 16t = 5[4(5t + -6) + 21] + -64

Combine like terms: -44 + -6 = -50
-50 + 16t = 5[4(5t + -6) + 21] + -64

Reorder the terms:
-50 + 16t = 5[4(-6 + 5t) + 21] + -64
-50 + 16t = 5[(-6 * 4 + 5t * 4) + 21] + -64
-50 + 16t = 5[(-24 + 20t) + 21] + -64

Reorder the terms:
-50 + 16t = 5[-24 + 21 + 20t] + -64

Combine like terms: -24 + 21 = -3
-50 + 16t = 5[-3 + 20t] + -64
-50 + 16t = [-3 * 5 + 20t * 5] + -64
-50 + 16t = [-15 + 100t] + -64

Reorder the terms:
-50 + 16t = -15 + -64 + 100t

Combine like terms: -15 + -64 = -79
-50 + 16t = -79 + 100t

Solving
-50 + 16t = -79 + 100t

Solving for variable 't'.

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

Add '-100t' to each side of the equation.
-50 + 16t + -100t = -79 + 100t + -100t

Combine like terms: 16t + -100t = -84t
-50 + -84t = -79 + 100t + -100t

Combine like terms: 100t + -100t = 0
-50 + -84t = -79 + 0
-50 + -84t = -79

Add '50' to each side of the equation.
-50 + 50 + -84t = -79 + 50

Combine like terms: -50 + 50 = 0
0 + -84t = -79 + 50
-84t = -79 + 50

Combine like terms: -79 + 50 = -29
-84t = -29

Divide each side by '-84'.
t = 0.3452380952

Simplifying
t = 0.3452380952

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