3(5-3(4-t))-2=5(3(5t-4)+8)-26

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Solution for 3(5-3(4-t))-2=5(3(5t-4)+8)-26 equation: 


Simplifying
3(5 + -3(4 + -1t)) + -2 = 5(3(5t + -4) + 8) + -26
3(5 + (4 * -3 + -1t * -3)) + -2 = 5(3(5t + -4) + 8) + -26
3(5 + (-12 + 3t)) + -2 = 5(3(5t + -4) + 8) + -26

Combine like terms: 5 + -12 = -7
3(-7 + 3t) + -2 = 5(3(5t + -4) + 8) + -26
(-7 * 3 + 3t * 3) + -2 = 5(3(5t + -4) + 8) + -26
(-21 + 9t) + -2 = 5(3(5t + -4) + 8) + -26

Reorder the terms:
-21 + -2 + 9t = 5(3(5t + -4) + 8) + -26

Combine like terms: -21 + -2 = -23
-23 + 9t = 5(3(5t + -4) + 8) + -26

Reorder the terms:
-23 + 9t = 5(3(-4 + 5t) + 8) + -26
-23 + 9t = 5((-4 * 3 + 5t * 3) + 8) + -26
-23 + 9t = 5((-12 + 15t) + 8) + -26

Reorder the terms:
-23 + 9t = 5(-12 + 8 + 15t) + -26

Combine like terms: -12 + 8 = -4
-23 + 9t = 5(-4 + 15t) + -26
-23 + 9t = (-4 * 5 + 15t * 5) + -26
-23 + 9t = (-20 + 75t) + -26

Reorder the terms:
-23 + 9t = -20 + -26 + 75t

Combine like terms: -20 + -26 = -46
-23 + 9t = -46 + 75t

Solving
-23 + 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.
-23 + 9t + -75t = -46 + 75t + -75t

Combine like terms: 9t + -75t = -66t
-23 + -66t = -46 + 75t + -75t

Combine like terms: 75t + -75t = 0
-23 + -66t = -46 + 0
-23 + -66t = -46

Add '23' to each side of the equation.
-23 + 23 + -66t = -46 + 23

Combine like terms: -23 + 23 = 0
0 + -66t = -46 + 23
-66t = -46 + 23

Combine like terms: -46 + 23 = -23
-66t = -23

Divide each side by '-66'.
t = 0.3484848485

Simplifying
t = 0.3484848485

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