-3(t-7)-(t+5)=1

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Solution for -3(t-7)-(t+5)=1 equation: 


Simplifying
-3(t + -7) + -1(t + 5) = 1

Reorder the terms:
-3(-7 + t) + -1(t + 5) = 1
(-7 * -3 + t * -3) + -1(t + 5) = 1
(21 + -3t) + -1(t + 5) = 1

Reorder the terms:
21 + -3t + -1(5 + t) = 1
21 + -3t + (5 * -1 + t * -1) = 1
21 + -3t + (-5 + -1t) = 1

Reorder the terms:
21 + -5 + -3t + -1t = 1

Combine like terms: 21 + -5 = 16
16 + -3t + -1t = 1

Combine like terms: -3t + -1t = -4t
16 + -4t = 1

Solving
16 + -4t = 1

Solving for variable 't'.

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

Add '-16' to each side of the equation.
16 + -16 + -4t = 1 + -16

Combine like terms: 16 + -16 = 0
0 + -4t = 1 + -16
-4t = 1 + -16

Combine like terms: 1 + -16 = -15
-4t = -15

Divide each side by '-4'.
t = 3.75

Simplifying
t = 3.75

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