-5(-4t-20)+4=2(14t+20)

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Solution for -5(-4t-20)+4=2(14t+20) equation:


Simplifying
-5(-4t + -20) + 4 = 2(14t + 20)

Reorder the terms:
-5(-20 + -4t) + 4 = 2(14t + 20)
(-20 * -5 + -4t * -5) + 4 = 2(14t + 20)
(100 + 20t) + 4 = 2(14t + 20)

Reorder the terms:
100 + 4 + 20t = 2(14t + 20)

Combine like terms: 100 + 4 = 104
104 + 20t = 2(14t + 20)

Reorder the terms:
104 + 20t = 2(20 + 14t)
104 + 20t = (20 * 2 + 14t * 2)
104 + 20t = (40 + 28t)

Solving
104 + 20t = 40 + 28t

Solving for variable 't'.

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

Add '-28t' to each side of the equation.
104 + 20t + -28t = 40 + 28t + -28t

Combine like terms: 20t + -28t = -8t
104 + -8t = 40 + 28t + -28t

Combine like terms: 28t + -28t = 0
104 + -8t = 40 + 0
104 + -8t = 40

Add '-104' to each side of the equation.
104 + -104 + -8t = 40 + -104

Combine like terms: 104 + -104 = 0
0 + -8t = 40 + -104
-8t = 40 + -104

Combine like terms: 40 + -104 = -64
-8t = -64

Divide each side by '-8'.
t = 8

Simplifying
t = 8

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