-5(t-9)-(t+5)=1

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Solution for -5(t-9)-(t+5)=1 equation: 


Simplifying
-5(t + -9) + -1(t + 5) = 1

Reorder the terms:
-5(-9 + t) + -1(t + 5) = 1
(-9 * -5 + t * -5) + -1(t + 5) = 1
(45 + -5t) + -1(t + 5) = 1

Reorder the terms:
45 + -5t + -1(5 + t) = 1
45 + -5t + (5 * -1 + t * -1) = 1
45 + -5t + (-5 + -1t) = 1

Reorder the terms:
45 + -5 + -5t + -1t = 1

Combine like terms: 45 + -5 = 40
40 + -5t + -1t = 1

Combine like terms: -5t + -1t = -6t
40 + -6t = 1

Solving
40 + -6t = 1

Solving for variable 't'.

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

Add '-40' to each side of the equation.
40 + -40 + -6t = 1 + -40

Combine like terms: 40 + -40 = 0
0 + -6t = 1 + -40
-6t = 1 + -40

Combine like terms: 1 + -40 = -39
-6t = -39

Divide each side by '-6'.
t = 6.5

Simplifying
t = 6.5

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