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

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


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

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

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

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

Solving
1 + -4t = -1 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
1 + -4t + -4t = -1 + 4t + -4t

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

Combine like terms: 4t + -4t = 0
1 + -8t = -1 + 0
1 + -8t = -1

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

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

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

Divide each side by '-8'.
t = 0.25

Simplifying
t = 0.25

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