8(3t+2)=2(16t+15)

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Solution for 8(3t+2)=2(16t+15) equation: 


Simplifying
8(3t + 2) = 2(16t + 15)

Reorder the terms:
8(2 + 3t) = 2(16t + 15)
(2 * 8 + 3t * 8) = 2(16t + 15)
(16 + 24t) = 2(16t + 15)

Reorder the terms:
16 + 24t = 2(15 + 16t)
16 + 24t = (15 * 2 + 16t * 2)
16 + 24t = (30 + 32t)

Solving
16 + 24t = 30 + 32t

Solving for variable 't'.

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

Add '-32t' to each side of the equation.
16 + 24t + -32t = 30 + 32t + -32t

Combine like terms: 24t + -32t = -8t
16 + -8t = 30 + 32t + -32t

Combine like terms: 32t + -32t = 0
16 + -8t = 30 + 0
16 + -8t = 30

Add '-16' to each side of the equation.
16 + -16 + -8t = 30 + -16

Combine like terms: 16 + -16 = 0
0 + -8t = 30 + -16
-8t = 30 + -16

Combine like terms: 30 + -16 = 14
-8t = 14

Divide each side by '-8'.
t = -1.75

Simplifying
t = -1.75

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