-6(t-4)-(t+5)=5

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Solution for -6(t-4)-(t+5)=5 equation:


Simplifying
-6(t + -4) + -1(t + 5) = 5

Reorder the terms:
-6(-4 + t) + -1(t + 5) = 5
(-4 * -6 + t * -6) + -1(t + 5) = 5
(24 + -6t) + -1(t + 5) = 5

Reorder the terms:
24 + -6t + -1(5 + t) = 5
24 + -6t + (5 * -1 + t * -1) = 5
24 + -6t + (-5 + -1t) = 5

Reorder the terms:
24 + -5 + -6t + -1t = 5

Combine like terms: 24 + -5 = 19
19 + -6t + -1t = 5

Combine like terms: -6t + -1t = -7t
19 + -7t = 5

Solving
19 + -7t = 5

Solving for variable 't'.

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

Add '-19' to each side of the equation.
19 + -19 + -7t = 5 + -19

Combine like terms: 19 + -19 = 0
0 + -7t = 5 + -19
-7t = 5 + -19

Combine like terms: 5 + -19 = -14
-7t = -14

Divide each side by '-7'.
t = 2

Simplifying
t = 2

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