6(4t+1)-11=t-(t+4)

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Solution for 6(4t+1)-11=t-(t+4) equation:


Simplifying
6(4t + 1) + -11 = t + -1(t + 4)

Reorder the terms:
6(1 + 4t) + -11 = t + -1(t + 4)
(1 * 6 + 4t * 6) + -11 = t + -1(t + 4)
(6 + 24t) + -11 = t + -1(t + 4)

Reorder the terms:
6 + -11 + 24t = t + -1(t + 4)

Combine like terms: 6 + -11 = -5
-5 + 24t = t + -1(t + 4)

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

Reorder the terms:
-5 + 24t = -4 + t + -1t

Combine like terms: t + -1t = 0
-5 + 24t = -4 + 0
-5 + 24t = -4

Solving
-5 + 24t = -4

Solving for variable 't'.

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

Add '5' to each side of the equation.
-5 + 5 + 24t = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 24t = -4 + 5
24t = -4 + 5

Combine like terms: -4 + 5 = 1
24t = 1

Divide each side by '24'.
t = 0.04166666667

Simplifying
t = 0.04166666667

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