-5(t-9)-(t+1)=8

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Solution for -5(t-9)-(t+1)=8 equation:


Simplifying
-5(t + -9) + -1(t + 1) = 8

Reorder the terms:
-5(-9 + t) + -1(t + 1) = 8
(-9 * -5 + t * -5) + -1(t + 1) = 8
(45 + -5t) + -1(t + 1) = 8

Reorder the terms:
45 + -5t + -1(1 + t) = 8
45 + -5t + (1 * -1 + t * -1) = 8
45 + -5t + (-1 + -1t) = 8

Reorder the terms:
45 + -1 + -5t + -1t = 8

Combine like terms: 45 + -1 = 44
44 + -5t + -1t = 8

Combine like terms: -5t + -1t = -6t
44 + -6t = 8

Solving
44 + -6t = 8

Solving for variable 't'.

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

Add '-44' to each side of the equation.
44 + -44 + -6t = 8 + -44

Combine like terms: 44 + -44 = 0
0 + -6t = 8 + -44
-6t = 8 + -44

Combine like terms: 8 + -44 = -36
-6t = -36

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

Simplifying
t = 6

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