4(5-4(4-t))-4=5(4(5t-5)+15)-54

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Solution for 4(5-4(4-t))-4=5(4(5t-5)+15)-54 equation: 


Simplifying
4(5 + -4(4 + -1t)) + -4 = 5(4(5t + -5) + 15) + -54
4(5 + (4 * -4 + -1t * -4)) + -4 = 5(4(5t + -5) + 15) + -54
4(5 + (-16 + 4t)) + -4 = 5(4(5t + -5) + 15) + -54

Combine like terms: 5 + -16 = -11
4(-11 + 4t) + -4 = 5(4(5t + -5) + 15) + -54
(-11 * 4 + 4t * 4) + -4 = 5(4(5t + -5) + 15) + -54
(-44 + 16t) + -4 = 5(4(5t + -5) + 15) + -54

Reorder the terms:
-44 + -4 + 16t = 5(4(5t + -5) + 15) + -54

Combine like terms: -44 + -4 = -48
-48 + 16t = 5(4(5t + -5) + 15) + -54

Reorder the terms:
-48 + 16t = 5(4(-5 + 5t) + 15) + -54
-48 + 16t = 5((-5 * 4 + 5t * 4) + 15) + -54
-48 + 16t = 5((-20 + 20t) + 15) + -54

Reorder the terms:
-48 + 16t = 5(-20 + 15 + 20t) + -54

Combine like terms: -20 + 15 = -5
-48 + 16t = 5(-5 + 20t) + -54
-48 + 16t = (-5 * 5 + 20t * 5) + -54
-48 + 16t = (-25 + 100t) + -54

Reorder the terms:
-48 + 16t = -25 + -54 + 100t

Combine like terms: -25 + -54 = -79
-48 + 16t = -79 + 100t

Solving
-48 + 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.
-48 + 16t + -100t = -79 + 100t + -100t

Combine like terms: 16t + -100t = -84t
-48 + -84t = -79 + 100t + -100t

Combine like terms: 100t + -100t = 0
-48 + -84t = -79 + 0
-48 + -84t = -79

Add '48' to each side of the equation.
-48 + 48 + -84t = -79 + 48

Combine like terms: -48 + 48 = 0
0 + -84t = -79 + 48
-84t = -79 + 48

Combine like terms: -79 + 48 = -31
-84t = -31

Divide each side by '-84'.
t = 0.369047619

Simplifying
t = 0.369047619

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