4(3t+-5)+11(2t+4)=7(2t+-8)+1

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Solution for 4(3t+-5)+11(2t+4)=7(2t+-8)+1 equation:


Simplifying
4(3t + -5) + 11(2t + 4) = 7(2t + -8) + 1

Reorder the terms:
4(-5 + 3t) + 11(2t + 4) = 7(2t + -8) + 1
(-5 * 4 + 3t * 4) + 11(2t + 4) = 7(2t + -8) + 1
(-20 + 12t) + 11(2t + 4) = 7(2t + -8) + 1

Reorder the terms:
-20 + 12t + 11(4 + 2t) = 7(2t + -8) + 1
-20 + 12t + (4 * 11 + 2t * 11) = 7(2t + -8) + 1
-20 + 12t + (44 + 22t) = 7(2t + -8) + 1

Reorder the terms:
-20 + 44 + 12t + 22t = 7(2t + -8) + 1

Combine like terms: -20 + 44 = 24
24 + 12t + 22t = 7(2t + -8) + 1

Combine like terms: 12t + 22t = 34t
24 + 34t = 7(2t + -8) + 1

Reorder the terms:
24 + 34t = 7(-8 + 2t) + 1
24 + 34t = (-8 * 7 + 2t * 7) + 1
24 + 34t = (-56 + 14t) + 1

Reorder the terms:
24 + 34t = -56 + 1 + 14t

Combine like terms: -56 + 1 = -55
24 + 34t = -55 + 14t

Solving
24 + 34t = -55 + 14t

Solving for variable 't'.

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

Add '-14t' to each side of the equation.
24 + 34t + -14t = -55 + 14t + -14t

Combine like terms: 34t + -14t = 20t
24 + 20t = -55 + 14t + -14t

Combine like terms: 14t + -14t = 0
24 + 20t = -55 + 0
24 + 20t = -55

Add '-24' to each side of the equation.
24 + -24 + 20t = -55 + -24

Combine like terms: 24 + -24 = 0
0 + 20t = -55 + -24
20t = -55 + -24

Combine like terms: -55 + -24 = -79
20t = -79

Divide each side by '20'.
t = -3.95

Simplifying
t = -3.95

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