4[5-4(4-t)]-2=5[4(5t-3)+9]-60

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Solution for 4[5-4(4-t)]-2=5[4(5t-3)+9]-60 equation: 


Simplifying
4[5 + -4(4 + -1t)] + -2 = 5[4(5t + -3) + 9] + -60
4[5 + (4 * -4 + -1t * -4)] + -2 = 5[4(5t + -3) + 9] + -60
4[5 + (-16 + 4t)] + -2 = 5[4(5t + -3) + 9] + -60

Combine like terms: 5 + -16 = -11
4[-11 + 4t] + -2 = 5[4(5t + -3) + 9] + -60
[-11 * 4 + 4t * 4] + -2 = 5[4(5t + -3) + 9] + -60
[-44 + 16t] + -2 = 5[4(5t + -3) + 9] + -60

Reorder the terms:
-44 + -2 + 16t = 5[4(5t + -3) + 9] + -60

Combine like terms: -44 + -2 = -46
-46 + 16t = 5[4(5t + -3) + 9] + -60

Reorder the terms:
-46 + 16t = 5[4(-3 + 5t) + 9] + -60
-46 + 16t = 5[(-3 * 4 + 5t * 4) + 9] + -60
-46 + 16t = 5[(-12 + 20t) + 9] + -60

Reorder the terms:
-46 + 16t = 5[-12 + 9 + 20t] + -60

Combine like terms: -12 + 9 = -3
-46 + 16t = 5[-3 + 20t] + -60
-46 + 16t = [-3 * 5 + 20t * 5] + -60
-46 + 16t = [-15 + 100t] + -60

Reorder the terms:
-46 + 16t = -15 + -60 + 100t

Combine like terms: -15 + -60 = -75
-46 + 16t = -75 + 100t

Solving
-46 + 16t = -75 + 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.
-46 + 16t + -100t = -75 + 100t + -100t

Combine like terms: 16t + -100t = -84t
-46 + -84t = -75 + 100t + -100t

Combine like terms: 100t + -100t = 0
-46 + -84t = -75 + 0
-46 + -84t = -75

Add '46' to each side of the equation.
-46 + 46 + -84t = -75 + 46

Combine like terms: -46 + 46 = 0
0 + -84t = -75 + 46
-84t = -75 + 46

Combine like terms: -75 + 46 = -29
-84t = -29

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

Simplifying
t = 0.3452380952

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