6(2-t)-(2-4t)=1

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Solution for 6(2-t)-(2-4t)=1 equation: 


Simplifying
6(2 + -1t) + -1(2 + -4t) = 1
(2 * 6 + -1t * 6) + -1(2 + -4t) = 1
(12 + -6t) + -1(2 + -4t) = 1
12 + -6t + (2 * -1 + -4t * -1) = 1
12 + -6t + (-2 + 4t) = 1

Reorder the terms:
12 + -2 + -6t + 4t = 1

Combine like terms: 12 + -2 = 10
10 + -6t + 4t = 1

Combine like terms: -6t + 4t = -2t
10 + -2t = 1

Solving
10 + -2t = 1

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 = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -2t = 1 + -10
-2t = 1 + -10

Combine like terms: 1 + -10 = -9
-2t = -9

Divide each side by '-2'.
t = 4.5

Simplifying
t = 4.5

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