3t-5(t-2)=-34+2

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Solution for 3t-5(t-2)=-34+2 equation: 


Simplifying
3t + -5(t + -2) = -34 + 2

Reorder the terms:
3t + -5(-2 + t) = -34 + 2
3t + (-2 * -5 + t * -5) = -34 + 2
3t + (10 + -5t) = -34 + 2

Reorder the terms:
10 + 3t + -5t = -34 + 2

Combine like terms: 3t + -5t = -2t
10 + -2t = -34 + 2

Combine like terms: -34 + 2 = -32
10 + -2t = -32

Solving
10 + -2t = -32

Solving for variable 't'.

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

Add '-10' to each side of the equation.
10 + -10 + -2t = -32 + -10

Combine like terms: 10 + -10 = 0
0 + -2t = -32 + -10
-2t = -32 + -10

Combine like terms: -32 + -10 = -42
-2t = -42

Divide each side by '-2'.
t = 21

Simplifying
t = 21

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