-4(t-4)+9t=8t-1

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Solution for -4(t-4)+9t=8t-1 equation: 


Simplifying
-4(t + -4) + 9t = 8t + -1

Reorder the terms:
-4(-4 + t) + 9t = 8t + -1
(-4 * -4 + t * -4) + 9t = 8t + -1
(16 + -4t) + 9t = 8t + -1

Combine like terms: -4t + 9t = 5t
16 + 5t = 8t + -1

Reorder the terms:
16 + 5t = -1 + 8t

Solving
16 + 5t = -1 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
16 + 5t + -8t = -1 + 8t + -8t

Combine like terms: 5t + -8t = -3t
16 + -3t = -1 + 8t + -8t

Combine like terms: 8t + -8t = 0
16 + -3t = -1 + 0
16 + -3t = -1

Add '-16' to each side of the equation.
16 + -16 + -3t = -1 + -16

Combine like terms: 16 + -16 = 0
0 + -3t = -1 + -16
-3t = -1 + -16

Combine like terms: -1 + -16 = -17
-3t = -17

Divide each side by '-3'.
t = 5.666666667

Simplifying
t = 5.666666667

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