-5(t-3)-(t+4)=8

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Solution for -5(t-3)-(t+4)=8 equation: 


Simplifying
-5(t + -3) + -1(t + 4) = 8

Reorder the terms:
-5(-3 + t) + -1(t + 4) = 8
(-3 * -5 + t * -5) + -1(t + 4) = 8
(15 + -5t) + -1(t + 4) = 8

Reorder the terms:
15 + -5t + -1(4 + t) = 8
15 + -5t + (4 * -1 + t * -1) = 8
15 + -5t + (-4 + -1t) = 8

Reorder the terms:
15 + -4 + -5t + -1t = 8

Combine like terms: 15 + -4 = 11
11 + -5t + -1t = 8

Combine like terms: -5t + -1t = -6t
11 + -6t = 8

Solving
11 + -6t = 8

Solving for variable 't'.

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

Add '-11' to each side of the equation.
11 + -11 + -6t = 8 + -11

Combine like terms: 11 + -11 = 0
0 + -6t = 8 + -11
-6t = 8 + -11

Combine like terms: 8 + -11 = -3
-6t = -3

Divide each side by '-6'.
t = 0.5

Simplifying
t = 0.5

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