-4(t-9)-(t+5)=11

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Solution for -4(t-9)-(t+5)=11 equation:


Simplifying
-4(t + -9) + -1(t + 5) = 11

Reorder the terms:
-4(-9 + t) + -1(t + 5) = 11
(-9 * -4 + t * -4) + -1(t + 5) = 11
(36 + -4t) + -1(t + 5) = 11

Reorder the terms:
36 + -4t + -1(5 + t) = 11
36 + -4t + (5 * -1 + t * -1) = 11
36 + -4t + (-5 + -1t) = 11

Reorder the terms:
36 + -5 + -4t + -1t = 11

Combine like terms: 36 + -5 = 31
31 + -4t + -1t = 11

Combine like terms: -4t + -1t = -5t
31 + -5t = 11

Solving
31 + -5t = 11

Solving for variable 't'.

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

Add '-31' to each side of the equation.
31 + -31 + -5t = 11 + -31

Combine like terms: 31 + -31 = 0
0 + -5t = 11 + -31
-5t = 11 + -31

Combine like terms: 11 + -31 = -20
-5t = -20

Divide each side by '-5'.
t = 4

Simplifying
t = 4

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