-5(t-6)-(t+2)=1

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Solution for -5(t-6)-(t+2)=1 equation: 


Simplifying
-5(t + -6) + -1(t + 2) = 1

Reorder the terms:
-5(-6 + t) + -1(t + 2) = 1
(-6 * -5 + t * -5) + -1(t + 2) = 1
(30 + -5t) + -1(t + 2) = 1

Reorder the terms:
30 + -5t + -1(2 + t) = 1
30 + -5t + (2 * -1 + t * -1) = 1
30 + -5t + (-2 + -1t) = 1

Reorder the terms:
30 + -2 + -5t + -1t = 1

Combine like terms: 30 + -2 = 28
28 + -5t + -1t = 1

Combine like terms: -5t + -1t = -6t
28 + -6t = 1

Solving
28 + -6t = 1

Solving for variable 't'.

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

Add '-28' to each side of the equation.
28 + -28 + -6t = 1 + -28

Combine like terms: 28 + -28 = 0
0 + -6t = 1 + -28
-6t = 1 + -28

Combine like terms: 1 + -28 = -27
-6t = -27

Divide each side by '-6'.
t = 4.5

Simplifying
t = 4.5

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