4[5-4(6-t)]-4=5[4(5t-3)+7]-84

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Solution for 4[5-4(6-t)]-4=5[4(5t-3)+7]-84 equation: 


Simplifying
4[5 + -4(6 + -1t)] + -4 = 5[4(5t + -3) + 7] + -84
4[5 + (6 * -4 + -1t * -4)] + -4 = 5[4(5t + -3) + 7] + -84
4[5 + (-24 + 4t)] + -4 = 5[4(5t + -3) + 7] + -84

Combine like terms: 5 + -24 = -19
4[-19 + 4t] + -4 = 5[4(5t + -3) + 7] + -84
[-19 * 4 + 4t * 4] + -4 = 5[4(5t + -3) + 7] + -84
[-76 + 16t] + -4 = 5[4(5t + -3) + 7] + -84

Reorder the terms:
-76 + -4 + 16t = 5[4(5t + -3) + 7] + -84

Combine like terms: -76 + -4 = -80
-80 + 16t = 5[4(5t + -3) + 7] + -84

Reorder the terms:
-80 + 16t = 5[4(-3 + 5t) + 7] + -84
-80 + 16t = 5[(-3 * 4 + 5t * 4) + 7] + -84
-80 + 16t = 5[(-12 + 20t) + 7] + -84

Reorder the terms:
-80 + 16t = 5[-12 + 7 + 20t] + -84

Combine like terms: -12 + 7 = -5
-80 + 16t = 5[-5 + 20t] + -84
-80 + 16t = [-5 * 5 + 20t * 5] + -84
-80 + 16t = [-25 + 100t] + -84

Reorder the terms:
-80 + 16t = -25 + -84 + 100t

Combine like terms: -25 + -84 = -109
-80 + 16t = -109 + 100t

Solving
-80 + 16t = -109 + 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.
-80 + 16t + -100t = -109 + 100t + -100t

Combine like terms: 16t + -100t = -84t
-80 + -84t = -109 + 100t + -100t

Combine like terms: 100t + -100t = 0
-80 + -84t = -109 + 0
-80 + -84t = -109

Add '80' to each side of the equation.
-80 + 80 + -84t = -109 + 80

Combine like terms: -80 + 80 = 0
0 + -84t = -109 + 80
-84t = -109 + 80

Combine like terms: -109 + 80 = -29
-84t = -29

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

Simplifying
t = 0.3452380952

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