8(3t+2)=4(7t+1)

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Solution for 8(3t+2)=4(7t+1) equation: 


Simplifying
8(3t + 2) = 4(7t + 1)

Reorder the terms:
8(2 + 3t) = 4(7t + 1)
(2 * 8 + 3t * 8) = 4(7t + 1)
(16 + 24t) = 4(7t + 1)

Reorder the terms:
16 + 24t = 4(1 + 7t)
16 + 24t = (1 * 4 + 7t * 4)
16 + 24t = (4 + 28t)

Solving
16 + 24t = 4 + 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.
16 + 24t + -28t = 4 + 28t + -28t

Combine like terms: 24t + -28t = -4t
16 + -4t = 4 + 28t + -28t

Combine like terms: 28t + -28t = 0
16 + -4t = 4 + 0
16 + -4t = 4

Add '-16' to each side of the equation.
16 + -16 + -4t = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -4t = 4 + -16
-4t = 4 + -16

Combine like terms: 4 + -16 = -12
-4t = -12

Divide each side by '-4'.
t = 3

Simplifying
t = 3

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