8(t-2)=3(t-9)

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Solution for 8(t-2)=3(t-9) equation: 


Simplifying
8(t + -2) = 3(t + -9)

Reorder the terms:
8(-2 + t) = 3(t + -9)
(-2 * 8 + t * 8) = 3(t + -9)
(-16 + 8t) = 3(t + -9)

Reorder the terms:
-16 + 8t = 3(-9 + t)
-16 + 8t = (-9 * 3 + t * 3)
-16 + 8t = (-27 + 3t)

Solving
-16 + 8t = -27 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-16 + 8t + -3t = -27 + 3t + -3t

Combine like terms: 8t + -3t = 5t
-16 + 5t = -27 + 3t + -3t

Combine like terms: 3t + -3t = 0
-16 + 5t = -27 + 0
-16 + 5t = -27

Add '16' to each side of the equation.
-16 + 16 + 5t = -27 + 16

Combine like terms: -16 + 16 = 0
0 + 5t = -27 + 16
5t = -27 + 16

Combine like terms: -27 + 16 = -11
5t = -11

Divide each side by '5'.
t = -2.2

Simplifying
t = -2.2

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