-4(t-9)-(t+4)=6

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Solution for -4(t-9)-(t+4)=6 equation: 


Simplifying
-4(t + -9) + -1(t + 4) = 6

Reorder the terms:
-4(-9 + t) + -1(t + 4) = 6
(-9 * -4 + t * -4) + -1(t + 4) = 6
(36 + -4t) + -1(t + 4) = 6

Reorder the terms:
36 + -4t + -1(4 + t) = 6
36 + -4t + (4 * -1 + t * -1) = 6
36 + -4t + (-4 + -1t) = 6

Reorder the terms:
36 + -4 + -4t + -1t = 6

Combine like terms: 36 + -4 = 32
32 + -4t + -1t = 6

Combine like terms: -4t + -1t = -5t
32 + -5t = 6

Solving
32 + -5t = 6

Solving for variable 't'.

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

Add '-32' to each side of the equation.
32 + -32 + -5t = 6 + -32

Combine like terms: 32 + -32 = 0
0 + -5t = 6 + -32
-5t = 6 + -32

Combine like terms: 6 + -32 = -26
-5t = -26

Divide each side by '-5'.
t = 5.2

Simplifying
t = 5.2

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