3t-4*(t-2)+2t=1

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Solution for 3t-4*(t-2)+2t=1 equation: 


Simplifying
3t + -4(t + -2) + 2t = 1

Reorder the terms:
3t + -4(-2 + t) + 2t = 1
3t + (-2 * -4 + t * -4) + 2t = 1
3t + (8 + -4t) + 2t = 1

Reorder the terms:
8 + 3t + -4t + 2t = 1

Combine like terms: 3t + -4t = -1t
8 + -1t + 2t = 1

Combine like terms: -1t + 2t = 1t
8 + 1t = 1

Solving
8 + 1t = 1

Solving for variable 't'.

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

Add '-8' to each side of the equation.
8 + -8 + 1t = 1 + -8

Combine like terms: 8 + -8 = 0
0 + 1t = 1 + -8
1t = 1 + -8

Combine like terms: 1 + -8 = -7
1t = -7

Divide each side by '1'.
t = -7

Simplifying
t = -7

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