-6(t-5)-(t+1)=11

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Solution for -6(t-5)-(t+1)=11 equation: 


Simplifying
-6(t + -5) + -1(t + 1) = 11

Reorder the terms:
-6(-5 + t) + -1(t + 1) = 11
(-5 * -6 + t * -6) + -1(t + 1) = 11
(30 + -6t) + -1(t + 1) = 11

Reorder the terms:
30 + -6t + -1(1 + t) = 11
30 + -6t + (1 * -1 + t * -1) = 11
30 + -6t + (-1 + -1t) = 11

Reorder the terms:
30 + -1 + -6t + -1t = 11

Combine like terms: 30 + -1 = 29
29 + -6t + -1t = 11

Combine like terms: -6t + -1t = -7t
29 + -7t = 11

Solving
29 + -7t = 11

Solving for variable 't'.

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

Add '-29' to each side of the equation.
29 + -29 + -7t = 11 + -29

Combine like terms: 29 + -29 = 0
0 + -7t = 11 + -29
-7t = 11 + -29

Combine like terms: 11 + -29 = -18
-7t = -18

Divide each side by '-7'.
t = 2.571428571

Simplifying
t = 2.571428571

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