-4(t-6)-3(3t+1)=-5

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Solution for -4(t-6)-3(3t+1)=-5 equation: 


Simplifying
-4(t + -6) + -3(3t + 1) = -5

Reorder the terms:
-4(-6 + t) + -3(3t + 1) = -5
(-6 * -4 + t * -4) + -3(3t + 1) = -5
(24 + -4t) + -3(3t + 1) = -5

Reorder the terms:
24 + -4t + -3(1 + 3t) = -5
24 + -4t + (1 * -3 + 3t * -3) = -5
24 + -4t + (-3 + -9t) = -5

Reorder the terms:
24 + -3 + -4t + -9t = -5

Combine like terms: 24 + -3 = 21
21 + -4t + -9t = -5

Combine like terms: -4t + -9t = -13t
21 + -13t = -5

Solving
21 + -13t = -5

Solving for variable 't'.

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

Add '-21' to each side of the equation.
21 + -21 + -13t = -5 + -21

Combine like terms: 21 + -21 = 0
0 + -13t = -5 + -21
-13t = -5 + -21

Combine like terms: -5 + -21 = -26
-13t = -26

Divide each side by '-13'.
t = 2

Simplifying
t = 2

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