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

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


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

Reorder the terms:
-3(-4 + t) + -1(t + 1) = 1
(-4 * -3 + t * -3) + -1(t + 1) = 1
(12 + -3t) + -1(t + 1) = 1

Reorder the terms:
12 + -3t + -1(1 + t) = 1
12 + -3t + (1 * -1 + t * -1) = 1
12 + -3t + (-1 + -1t) = 1

Reorder the terms:
12 + -1 + -3t + -1t = 1

Combine like terms: 12 + -1 = 11
11 + -3t + -1t = 1

Combine like terms: -3t + -1t = -4t
11 + -4t = 1

Solving
11 + -4t = 1

Solving for variable 't'.

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

Add '-11' to each side of the equation.
11 + -11 + -4t = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -4t = 1 + -11
-4t = 1 + -11

Combine like terms: 1 + -11 = -10
-4t = -10

Divide each side by '-4'.
t = 2.5

Simplifying
t = 2.5

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