32=3(t-12)+2t

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Solution for 32=3(t-12)+2t equation: 


Simplifying
32 = 3(t + -12) + 2t

Reorder the terms:
32 = 3(-12 + t) + 2t
32 = (-12 * 3 + t * 3) + 2t
32 = (-36 + 3t) + 2t

Combine like terms: 3t + 2t = 5t
32 = -36 + 5t

Solving
32 = -36 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
32 + -5t = -36 + 5t + -5t

Combine like terms: 5t + -5t = 0
32 + -5t = -36 + 0
32 + -5t = -36

Add '-32' to each side of the equation.
32 + -32 + -5t = -36 + -32

Combine like terms: 32 + -32 = 0
0 + -5t = -36 + -32
-5t = -36 + -32

Combine like terms: -36 + -32 = -68
-5t = -68

Divide each side by '-5'.
t = 13.6

Simplifying
t = 13.6

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