3(t-5)-16t=12-2(t-3)

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Solution for 3(t-5)-16t=12-2(t-3) equation: 


Simplifying
3(t + -5) + -16t = 12 + -2(t + -3)

Reorder the terms:
3(-5 + t) + -16t = 12 + -2(t + -3)
(-5 * 3 + t * 3) + -16t = 12 + -2(t + -3)
(-15 + 3t) + -16t = 12 + -2(t + -3)

Combine like terms: 3t + -16t = -13t
-15 + -13t = 12 + -2(t + -3)

Reorder the terms:
-15 + -13t = 12 + -2(-3 + t)
-15 + -13t = 12 + (-3 * -2 + t * -2)
-15 + -13t = 12 + (6 + -2t)

Combine like terms: 12 + 6 = 18
-15 + -13t = 18 + -2t

Solving
-15 + -13t = 18 + -2t

Solving for variable 't'.

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

Add '2t' to each side of the equation.
-15 + -13t + 2t = 18 + -2t + 2t

Combine like terms: -13t + 2t = -11t
-15 + -11t = 18 + -2t + 2t

Combine like terms: -2t + 2t = 0
-15 + -11t = 18 + 0
-15 + -11t = 18

Add '15' to each side of the equation.
-15 + 15 + -11t = 18 + 15

Combine like terms: -15 + 15 = 0
0 + -11t = 18 + 15
-11t = 18 + 15

Combine like terms: 18 + 15 = 33
-11t = 33

Divide each side by '-11'.
t = -3

Simplifying
t = -3

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