-4(t-4)+6t=5t-8

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Solution for -4(t-4)+6t=5t-8 equation:


Simplifying
-4(t + -4) + 6t = 5t + -8

Reorder the terms:
-4(-4 + t) + 6t = 5t + -8
(-4 * -4 + t * -4) + 6t = 5t + -8
(16 + -4t) + 6t = 5t + -8

Combine like terms: -4t + 6t = 2t
16 + 2t = 5t + -8

Reorder the terms:
16 + 2t = -8 + 5t

Solving
16 + 2t = -8 + 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 + 2t + -5t = -8 + 5t + -5t

Combine like terms: 2t + -5t = -3t
16 + -3t = -8 + 5t + -5t

Combine like terms: 5t + -5t = 0
16 + -3t = -8 + 0
16 + -3t = -8

Add '-16' to each side of the equation.
16 + -16 + -3t = -8 + -16

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

Combine like terms: -8 + -16 = -24
-3t = -24

Divide each side by '-3'.
t = 8

Simplifying
t = 8

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