-4(t-4)+7t=5t-1

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Solution for -4(t-4)+7t=5t-1 equation: 


Simplifying
-4(t + -4) + 7t = 5t + -1

Reorder the terms:
-4(-4 + t) + 7t = 5t + -1
(-4 * -4 + t * -4) + 7t = 5t + -1
(16 + -4t) + 7t = 5t + -1

Combine like terms: -4t + 7t = 3t
16 + 3t = 5t + -1

Reorder the terms:
16 + 3t = -1 + 5t

Solving
16 + 3t = -1 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
16 + 3t + -5t = -1 + 5t + -5t

Combine like terms: 3t + -5t = -2t
16 + -2t = -1 + 5t + -5t

Combine like terms: 5t + -5t = 0
16 + -2t = -1 + 0
16 + -2t = -1

Add '-16' to each side of the equation.
16 + -16 + -2t = -1 + -16

Combine like terms: 16 + -16 = 0
0 + -2t = -1 + -16
-2t = -1 + -16

Combine like terms: -1 + -16 = -17
-2t = -17

Divide each side by '-2'.
t = 8.5

Simplifying
t = 8.5

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