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

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


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

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

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

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

Combine like terms: 12 + -3 = 9
9 + -3t + -1t = 1

Combine like terms: -3t + -1t = -4t
9 + -4t = 1

Solving
9 + -4t = 1

Solving for variable 't'.

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

Add '-9' to each side of the equation.
9 + -9 + -4t = 1 + -9

Combine like terms: 9 + -9 = 0
0 + -4t = 1 + -9
-4t = 1 + -9

Combine like terms: 1 + -9 = -8
-4t = -8

Divide each side by '-4'.
t = 2

Simplifying
t = 2

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